57664300 has 36 divisors (see below), whose sum is σ = 127804320. Its totient is φ = 22573120.

The previous prime is 57664279. The next prime is 57664301. The reversal of 57664300 is 346675.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57664301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1435 + ... + 10834.

It is an arithmetic number, because the mean of its divisors is an integer number (3550120).

Almost surely, 2^57664300 is an apocalyptic number.

57664300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57664300 is an abundant number, since it is smaller than the sum of its proper divisors (70140020).

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

57664300 is a wasteful number, since it uses less digits than its factorization.

57664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 57664300 is about 7593.7013372926. The cubic root of 57664300 is about 386.3394063446.

The spelling of 57664300 in words is "fifty-seven million, six hundred sixty-four thousand, three hundred".