57664640 has 64 divisors (see below), whose sum is σ = 150405120. Its totient is φ = 20966400.

The previous prime is 57664603. The next prime is 57664643. The reversal of 57664640 is 4646675.

57664640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 57664594 and 57664603.

It is not an unprimeable number, because it can be changed into a prime (57664643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2945 + ... + 11135.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080).

Almost surely, 2^57664640 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 57664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75202560).

57664640 is an abundant number, since it is smaller than the sum of its proper divisors (92740480).

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

57664640 is a wasteful number, since it uses less digits than its factorization.

57664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 57664640 is about 7593.7237242344. The cubic root of 57664640 is about 386.3401656540.

The spelling of 57664640 in words is "fifty-seven million, six hundred sixty-four thousand, six hundred forty".