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644640 = 25351779
BaseRepresentation
bin10011101011000100000
31012202021120
42131120200
5131112030
621452240
75323263
oct2353040
91182246
10644640
11400367
12271080
13197559
1412acda
15cb010
hex9d620

644640 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 159744.

The previous prime is 644629. The next prime is 644647. The reversal of 644640 is 46446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 644640.

It is not an unprimeable number, because it can be changed into a prime (644647) by changing a digit.

644640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8121 + ... + 8199.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2644640 is an apocalyptic number.

644640 is a gapful number since it is divisible by the number (60) 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 644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

644640 is an abundant number, since it is smaller than the sum of its proper divisors (1532640).

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

644640 is a wasteful number, since it uses less digits than its factorization.

644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 644640 is about 802.8947627180. The cubic root of 644640 is about 86.3851483389.

The spelling of 644640 in words is "six hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 79 80 85 96 102 120 136 158 160 170 204 237 240 255 272 316 340 395 408 474 480 510 544 632 680 790 816 948 1020 1185 1264 1343 1360 1580 1632 1896 2040 2370 2528 2686 2720 3160 3792 4029 4080 4740 5372 6320 6715 7584 8058 8160 9480 10744 12640 13430 16116 18960 20145 21488 26860 32232 37920 40290 42976 53720 64464 80580 107440 128928 161160 214880 322320 644640