57668400 has 180 divisors, whose sum is σ = 203585928. Its totient is φ = 15114240.

The previous prime is 57668393. The next prime is 57668407. The reversal of 57668400 is 486675.

It is a happy number.

57668400 is a `hidden beast` number, since 576 + 6 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57668393) and next prime (57668407).

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 not an unprimeable number, because it can be changed into a prime (57668407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298704 + ... + 298896.

Almost surely, 2^57668400 is an apocalyptic number.

57668400 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 57668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101792964).

57668400 is an abundant number, since it is smaller than the sum of its proper divisors (145917528).

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

57668400 is a wasteful number, since it uses less digits than its factorization.

57668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57668400 is about 7593.9712930719. The cubic root of 57668400 is about 386.3485625240.

The spelling of 57668400 in words is "fifty-seven million, six hundred sixty-eight thousand, four hundred".