56217600 has 234 divisors, whose sum is σ = 204660326. Its totient is φ = 14745600.

The previous prime is 56217583. The next prime is 56217647. The reversal of 56217600 is 671265.

56217600 is a `hidden beast` number, since 56 + 2 + 1 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 56070144 = 384^2 + 7488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921570 + ... + 921630.

Almost surely, 2^56217600 is an apocalyptic number.

56217600 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 56217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102330163).

56217600 is an abundant number, since it is smaller than the sum of its proper divisors (148442726).

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

56217600 is a wasteful number, since it uses less digits than its factorization.

56217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56217600 is about 7497.8396888704. The cubic root of 56217600 is about 383.0811363621.

Adding to 56217600 its reverse (671265), we get a palindrome (56888865).

The spelling of 56217600 in words is "fifty-six million, two hundred seventeen thousand, six hundred".