56580096 has 48 divisors (see below), whose sum is σ = 150859800. Its totient is φ = 18857984.

The previous prime is 56580091. The next prime is 56580103. The reversal of 56580096 is 69008565.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56580091) 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 3 ways as a sum of consecutive naturals, for example, 1540 + ... + 10748.

Almost surely, 2^56580096 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 56580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75429900).

56580096 is an abundant number, since it is smaller than the sum of its proper divisors (94279704).

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

56580096 is an equidigital number, since it uses as much as digits as its factorization.

56580096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56580096 is about 7521.9742089428. The cubic root of 56580096 is about 383.9027531524.

The spelling of 56580096 in words is "fifty-six million, five hundred eighty thousand, ninety-six".