57302640 has 200 divisors, whose sum is σ = 205254720. Its totient is φ = 14805504.

The previous prime is 57302633. The next prime is 57302657. The reversal of 57302640 is 4620375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239641 + ... + 239879.

Almost surely, 2^57302640 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 57302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

57302640 is an abundant number, since it is smaller than the sum of its proper divisors (147952080).

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

57302640 is a wasteful number, since it uses less digits than its factorization.

57302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57302640 is about 7569.8507250804. The cubic root of 57302640 is about 385.5300283956.

The spelling of 57302640 in words is "fifty-seven million, three hundred two thousand, six hundred forty".