57645360 has 180 divisors, whose sum is σ = 205491312. Its totient is φ = 14454528.

The previous prime is 57645349. The next prime is 57645361. The reversal of 57645360 is 6354675.

57645360 is a `hidden beast` number, since 5 + 7 + 645 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57645361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 977011 + ... + 977069.

Almost surely, 2^57645360 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 57645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102745656).

57645360 is an abundant number, since it is smaller than the sum of its proper divisors (147845952).

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

57645360 is a wasteful number, since it uses less digits than its factorization.

57645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57645360 is about 7592.4541486926. The cubic root of 57645360 is about 386.2971036280.

The spelling of 57645360 in words is "fifty-seven million, six hundred forty-five thousand, three hundred sixty".