53057664 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 15575040.

The previous prime is 53057659. The next prime is 53057701. The reversal of 53057664 is 46675035.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671577 + ... + 671655.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^53057664 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 53057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

53057664 is an abundant number, since it is smaller than the sum of its proper divisors (118791936).

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

53057664 is a wasteful number, since it uses less digits than its factorization.

53057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

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

The square root of 53057664 is about 7284.0691924226. The cubic root of 53057664 is about 375.7647540100.

The spelling of 53057664 in words is "fifty-three million, fifty-seven thousand, six hundred sixty-four".