56880000 has 240 divisors, whose sum is σ = 207121200. Its totient is φ = 14976000.

The previous prime is 56879959. The next prime is 56880029. The reversal of 56880000 is 8865.

56880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 29 ways as a sum of consecutive naturals, for example, 719961 + ... + 720039.

It is an arithmetic number, because the mean of its divisors is an integer number (863005).

Almost surely, 2^56880000 is an apocalyptic number.

56880000 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 56880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103560600).

56880000 is an abundant number, since it is smaller than the sum of its proper divisors (150241200).

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

56880000 is an equidigital number, since it uses as much as digits as its factorization.

56880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56880000 is about 7541.8830539859. The cubic root of 56880000 is about 384.5798531279.

Adding to 56880000 its reverse (8865), we get a palindrome (56888865).

The spelling of 56880000 in words is "fifty-six million, eight hundred eighty thousand".