56347200 has 504 divisors, whose sum is σ = 252219968. Its totient is φ = 11612160.

The previous prime is 56347169. The next prime is 56347211. The reversal of 56347200 is 274365.

It is a happy number.

56347200 is a `hidden beast` number, since 5 + 634 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310379 + ... + 1310421.

Almost surely, 2^56347200 is an apocalyptic number.

56347200 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 56347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126109984).

56347200 is an abundant number, since it is smaller than the sum of its proper divisors (195872768).

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

56347200 is a wasteful number, since it uses less digits than its factorization.

56347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56347200 is about 7506.4772030560. The cubic root of 56347200 is about 383.3752863137.

The spelling of 56347200 in words is "fifty-six million, three hundred forty-seven thousand, two hundred".