57694560 has 288 divisors, whose sum is σ = 231662592. Its totient is φ = 11934720.

The previous prime is 57694537. The next prime is 57694561. The reversal of 57694560 is 6549675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57694561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258609 + ... + 258831.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^57694560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

57694560 is an abundant number, since it is smaller than the sum of its proper divisors (173968032).

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

57694560 is a wasteful number, since it uses less digits than its factorization.

57694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 57694560 is about 7595.6935167238. The cubic root of 57694560 is about 386.4069731991.

The spelling of 57694560 in words is "fifty-seven million, six hundred ninety-four thousand, five hundred sixty".