57410920 has 64 divisors (see below), whose sum is σ = 148291200. Its totient is φ = 19595520.

The previous prime is 57410917. The next prime is 57410933. The reversal of 57410920 is 2901475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105850 + ... + 106390.

It is an arithmetic number, because the mean of its divisors is an integer number (2317050).

Almost surely, 2^57410920 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 57410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74145600).

57410920 is an abundant number, since it is smaller than the sum of its proper divisors (90880280).

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

57410920 is a wasteful number, since it uses less digits than its factorization.

57410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 57410920 is about 7576.9994060974. Note that the first 3 decimals coincide. The cubic root of 57410920 is about 385.7727102041.

The spelling of 57410920 in words is "fifty-seven million, four hundred ten thousand, nine hundred twenty".