57132810 has 256 divisors, whose sum is σ = 192614400. Its totient is φ = 11757312.

The previous prime is 57132797. The next prime is 57132833. The reversal of 57132810 is 1823175.

It is a super-2 number, since 2×57132810² = 6528315956992200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328649 + ... + 1328691.

It is an arithmetic number, because the mean of its divisors is an integer number (752400).

Almost surely, 2^57132810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57132810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96307200).

57132810 is an abundant number, since it is smaller than the sum of its proper divisors (135481590).

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

57132810 is a wasteful number, since it uses less digits than its factorization.

57132810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57132810 is about 7558.6248749359. The cubic root of 57132810 is about 385.1487815364.

Adding to 57132810 its reverse (1823175), we get a palindrome (58955985).

The spelling of 57132810 in words is "fifty-seven million, one hundred thirty-two thousand, eight hundred ten".