56678400 has 288 divisors, whose sum is σ = 213267600. Its totient is φ = 14745600.

The previous prime is 56678399. The next prime is 56678411. The reversal of 56678400 is 487665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382380 + ... + 1382420.

Almost surely, 2^56678400 is an apocalyptic number.

56678400 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 56678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

56678400 is an abundant number, since it is smaller than the sum of its proper divisors (156589200).

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

56678400 is a wasteful number, since it uses less digits than its factorization.

56678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

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

The square root of 56678400 is about 7528.5058278519. The cubic root of 56678400 is about 384.1249593320.

The spelling of 56678400 in words is "fifty-six million, six hundred seventy-eight thousand, four hundred".