57329664 has 192 divisors, whose sum is σ = 184504320. Its totient is φ = 15482880.

The previous prime is 57329663. The next prime is 57329683. The reversal of 57329664 is 46692375.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57329663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333227 + ... + 1333269.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 2^57329664 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 57329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

57329664 is an abundant number, since it is smaller than the sum of its proper divisors (127174656).

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

57329664 is a wasteful number, since it uses less digits than its factorization.

57329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 57329664 is about 7571.6354904340. The cubic root of 57329664 is about 385.5906243595.

The spelling of 57329664 in words is "fifty-seven million, three hundred twenty-nine thousand, six hundred sixty-four".