57945360 has 160 divisors (see below), whose sum is σ = 200558592. Its totient is φ = 13719040.

The previous prime is 57945337. The next prime is 57945373. The reversal of 57945360 is 6354975.

57945360 = T₁₄₂₄ + T₁₄₂₅ + ... + T₁₄₇₈.

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 31 ways as a sum of consecutive naturals, for example, 123847 + ... + 124313.

Almost surely, 2^57945360 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 57945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279296).

57945360 is an abundant number, since it is smaller than the sum of its proper divisors (142613232).

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

57945360 is a wasteful number, since it uses less digits than its factorization.

57945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 57945360 is about 7612.1849688509. The cubic root of 57945360 is about 386.9660714468.

The spelling of 57945360 in words is "fifty-seven million, nine hundred forty-five thousand, three hundred sixty".