57521664 has 200 divisors, whose sum is σ = 183198840. Its totient is φ = 17915904.

The previous prime is 57521617. The next prime is 57521671. The reversal of 57521664 is 46612575.

It is a happy number.

57521664 is a `hidden beast` number, since 575 + 21 + 6 + 64 = 666.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787932 + ... + 788004.

Almost surely, 2^57521664 is an apocalyptic number.

57521664 is a gapful number since it is divisible by the number (54) 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 57521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91599420).

57521664 is an abundant number, since it is smaller than the sum of its proper divisors (125677176).

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

57521664 is an equidigital number, since it uses as much as digits as its factorization.

57521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 57521664 is about 7584.3037913839. The cubic root of 57521664 is about 386.0205990063.

It can be divided in two parts, 57521 and 664, that added together give a palindrome (58185).

The spelling of 57521664 in words is "fifty-seven million, five hundred twenty-one thousand, six hundred sixty-four".