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1664640 = 27325172
BaseRepresentation
bin110010110011010000000
310010120110100
412112122000
5411232030
655402400
720102115
oct6263200
93116410
101664640
11a3773a
12683400
134638c3
1431490c
1522d360
hex196680

1664640 has 144 divisors (see below), whose sum is σ = 6106230. Its totient is φ = 417792.

The previous prime is 1664633. The next prime is 1664651. The reversal of 1664640 is 464661.

1664640 is a `hidden beast` number, since 16 + 6 + 4 + 640 = 666.

1664640 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 1617984 + 46656 = 1272^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97912 + ... + 97928.

21664640 is an apocalyptic number.

1664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053115).

1664640 is an abundant number, since it is smaller than the sum of its proper divisors (4441590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1664640 is a wasteful number, since it uses less digits than its factorization.

1664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1664640 is about 1290.2092853487. The cubic root of 1664640 is about 118.5150330765.

It can be divided in two parts, 1664 and 640, that added together give a square (2304 = 482).

The spelling of 1664640 in words is "one million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 128 136 144 153 160 170 180 192 204 240 255 272 288 289 306 320 340 360 384 408 480 510 544 576 578 612 640 680 720 765 816 867 960 1020 1088 1152 1156 1224 1360 1440 1445 1530 1632 1734 1920 2040 2176 2312 2448 2601 2720 2880 2890 3060 3264 3468 4080 4335 4624 4896 5202 5440 5760 5780 6120 6528 6936 8160 8670 9248 9792 10404 10880 11560 12240 13005 13872 16320 17340 18496 19584 20808 23120 24480 26010 27744 32640 34680 36992 41616 46240 48960 52020 55488 69360 83232 92480 97920 104040 110976 138720 166464 184960 208080 277440 332928 416160 554880 832320 1664640