56480160 has 192 divisors, whose sum is σ = 204664320. Its totient is φ = 12948480.

The previous prime is 56480147. The next prime is 56480161. The reversal of 56480160 is 6108465.

56480160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56480161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 100039 + ... + 100601.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^56480160 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 56480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

56480160 is an abundant number, since it is smaller than the sum of its proper divisors (148184160).

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

56480160 is a wasteful number, since it uses less digits than its factorization.

56480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56480160 is about 7515.3283361407. The cubic root of 56480160 is about 383.6765940224.

The spelling of 56480160 in words is "fifty-six million, four hundred eighty thousand, one hundred sixty".