57500820 has 96 divisors (see below), whose sum is σ = 192675840. Its totient is φ = 14152320.

The previous prime is 57500809. The next prime is 57500843. The reversal of 57500820 is 2800575.

It is a happy number.

57500820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2925 + ... + 11115.

It is an arithmetic number, because the mean of its divisors is an integer number (2007040).

Almost surely, 2^57500820 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 57500820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96337920).

57500820 is an abundant number, since it is smaller than the sum of its proper divisors (135175020).

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

57500820 is a wasteful number, since it uses less digits than its factorization.

57500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 57500820 is about 7582.9295130576. The cubic root of 57500820 is about 385.9739662254.

The spelling of 57500820 in words is "fifty-seven million, five hundred thousand, eight hundred twenty".