57773920 has 48 divisors (see below), whose sum is σ = 139835808. Its totient is φ = 22543360.

The previous prime is 57773917. The next prime is 57773923. The reversal of 57773920 is 2937775.

57773920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57773917) and next prime (57773923).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57773923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2157 + ... + 10963.

It is an arithmetic number, because the mean of its divisors is an integer number (2913246).

Almost surely, 2^57773920 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 57773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69917904).

57773920 is an abundant number, since it is smaller than the sum of its proper divisors (82061888).

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

57773920 is a wasteful number, since it uses less digits than its factorization.

57773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 40.

The square root of 57773920 is about 7600.9157343047. The cubic root of 57773920 is about 386.5840621534.

The spelling of 57773920 in words is "fifty-seven million, seven hundred seventy-three thousand, nine hundred twenty".