57652080 has 160 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 14201856.

The previous prime is 57652073. The next prime is 57652097. The reversal of 57652080 is 8025675.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214186 + ... + 214454.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^57652080 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 57652080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

57652080 is an abundant number, since it is smaller than the sum of its proper divisors (135192720).

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

57652080 is a wasteful number, since it uses less digits than its factorization.

57652080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 57652080 is about 7592.8966804507. The cubic root of 57652080 is about 386.3121138888.

The spelling of 57652080 in words is "fifty-seven million, six hundred fifty-two thousand, eighty".