57738576 has 80 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 16404864.

The previous prime is 57738563. The next prime is 57738601. The reversal of 57738576 is 67583775.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79945 + ... + 80663.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^57738576 is an apocalyptic number.

57738576 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 57738576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

57738576 is an abundant number, since it is smaller than the sum of its proper divisors (113679024).

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

57738576 is a wasteful number, since it uses less digits than its factorization.

57738576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 57738576 is about 7598.5903955931. The cubic root of 57738576 is about 386.5052133447.

The spelling of 57738576 in words is "fifty-seven million, seven hundred thirty-eight thousand, five hundred seventy-six".