56800736 has 48 divisors (see below), whose sum is σ = 115368624. Its totient is φ = 27515904.

The previous prime is 56800717. The next prime is 56800739. The reversal of 56800736 is 63700865.

It is a happy number.

56800736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56800736² = 6452647220283392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56800696 and 56800705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56800739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181316 + ... + 181628.

It is an arithmetic number, because the mean of its divisors is an integer number (2403513).

Almost surely, 2^56800736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56800736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57684312).

56800736 is an abundant number, since it is smaller than the sum of its proper divisors (58567888).

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

56800736 is a wasteful number, since it uses less digits than its factorization.

56800736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 56800736 is about 7536.6263009386. The cubic root of 56800736 is about 384.4011288647.

The spelling of 56800736 in words is "fifty-six million, eight hundred thousand, seven hundred thirty-six".