57696300 has 180 divisors, whose sum is σ = 198502920. Its totient is φ = 14446080.

The previous prime is 57696299. The next prime is 57696319. The reversal of 57696300 is 369675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137491 + ... + 137909.

It is an arithmetic number, because the mean of its divisors is an integer number (1102794).

Almost surely, 2^57696300 is an apocalyptic number.

57696300 is a gapful number since it is divisible by the number (50) 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 57696300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99251460).

57696300 is an abundant number, since it is smaller than the sum of its proper divisors (140806620).

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

57696300 is a wasteful number, since it uses less digits than its factorization.

57696300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 57696300 is about 7595.8080544469. The cubic root of 57696300 is about 386.4108576865.

The spelling of 57696300 in words is "fifty-seven million, six hundred ninety-six thousand, three hundred".