56096000 has 72 divisors (see below), whose sum is σ = 139821864. Its totient is φ = 22425600.

The previous prime is 56095997. The next prime is 56096023. The reversal of 56096000 is 69065.

56096000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 42198016 = 3728^2 + 6496^2 .

It is a super-2 number, since 2×56096000² = 6293522432000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 31124 + ... + 32876.

Almost surely, 2^56096000 is an apocalyptic number.

56096000 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 56096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69910932).

56096000 is an abundant number, since it is smaller than the sum of its proper divisors (83725864).

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

56096000 is an equidigital number, since it uses as much as digits as its factorization.

56096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 56096000 is about 7489.7262967347. The cubic root of 56096000 is about 382.8047324538.

The spelling of 56096000 in words is "fifty-six million, ninety-six thousand".