56806816 has 48 divisors (see below), whose sum is σ = 123778368. Its totient is φ = 25446400.

The previous prime is 56806811. The next prime is 56806817. The reversal of 56806816 is 61860865.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56806811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23856 + ... + 26128.

It is an arithmetic number, because the mean of its divisors is an integer number (2578716).

Almost surely, 2^56806816 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 56806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61889184).

56806816 is an abundant number, since it is smaller than the sum of its proper divisors (66971552).

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

56806816 is a wasteful number, since it uses less digits than its factorization.

56806816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 56806816 is about 7537.0296536500. The cubic root of 56806816 is about 384.4148439187.

The spelling of 56806816 in words is "fifty-six million, eight hundred six thousand, eight hundred sixteen".