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68544 = 2632717
BaseRepresentation
bin10000101111000000
310111000200
4100233000
54143134
61245200
7403560
oct205700
9114020
1068544
1147553
1233800
1325278
141ada0
1515499
hex10bc0

68544 has 84 divisors (see below), whose sum is σ = 237744. Its totient is φ = 18432.

The previous prime is 68543. The next prime is 68567. The reversal of 68544 is 44586.

It can be divided in two parts, 685 and 44, that added together give a 6-th power (729 = 36).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4024 + ... + 4040.

268544 is an apocalyptic number.

68544 is a gapful number since it is divisible by the number (64) 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 68544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

68544 is an abundant number, since it is smaller than the sum of its proper divisors (169200).

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

68544 is a wasteful number, since it uses less digits than its factorization.

68544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 68544 is about 261.8090907513. The cubic root of 68544 is about 40.9251061874.

The spelling of 68544 in words is "sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 136 144 153 168 192 204 224 238 252 272 288 306 336 357 408 448 476 504 544 576 612 672 714 816 952 1008 1071 1088 1224 1344 1428 1632 1904 2016 2142 2448 2856 3264 3808 4032 4284 4896 5712 7616 8568 9792 11424 17136 22848 34272 68544