56396880 has 240 divisors, whose sum is σ = 203982480. Its totient is φ = 13934592.

The previous prime is 56396849. The next prime is 56396881. The reversal of 56396880 is 8869365.

56396880 is a `hidden beast` number, since 5 + 639 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 54110736 = 1512^2 + 7356^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56396881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772524 + ... + 772596.

It is an arithmetic number, because the mean of its divisors is an integer number (849927).

Almost surely, 2^56396880 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 56396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101991240).

56396880 is an abundant number, since it is smaller than the sum of its proper divisors (147585600).

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

56396880 is a wasteful number, since it uses less digits than its factorization.

56396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56396880 is about 7509.7856161145. The cubic root of 56396880 is about 383.4879242056.

The spelling of 56396880 in words is "fifty-six million, three hundred ninety-six thousand, eight hundred eighty".