57632640 has 128 divisors (see below), whose sum is σ = 197920800. Its totient is φ = 14180352.

The previous prime is 57632639. The next prime is 57632711. The reversal of 57632640 is 4623675.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23806 + ... + 26114.

Almost surely, 2^57632640 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 57632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960400).

57632640 is an abundant number, since it is smaller than the sum of its proper divisors (140288160).

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

57632640 is a wasteful number, since it uses less digits than its factorization.

57632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 57632640 is about 7591.6164286666. The cubic root of 57632640 is about 386.2686881543.

The spelling of 57632640 in words is "fifty-seven million, six hundred thirty-two thousand, six hundred forty".