57951936 has 140 divisors (see below), whose sum is σ = 196451728. Its totient is φ = 16547328.

The previous prime is 57951923. The next prime is 57951941. The reversal of 57951936 is 63915975.

It is a super-2 number, since 2×57951936² = 6716853772296192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57951891 and 57951900.

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 19 ways as a sum of consecutive naturals, for example, 35490 + ... + 37086.

Almost surely, 2^57951936 is an apocalyptic number.

57951936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98225864).

57951936 is an abundant number, since it is smaller than the sum of its proper divisors (138499792).

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

57951936 is a wasteful number, since it uses less digits than its factorization.

57951936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1609 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 57951936 is about 7612.6168956542. The cubic root of 57951936 is about 386.9807093323.

The spelling of 57951936 in words is "fifty-seven million, nine hundred fifty-one thousand, nine hundred thirty-six".