56048160 has 144 divisors (see below), whose sum is σ = 205462656. Its totient is φ = 12805632.

The previous prime is 56048149. The next prime is 56048177. The reversal of 56048160 is 6184065.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22329 + ... + 24711.

It is an arithmetic number, because the mean of its divisors is an integer number (1426824).

Almost surely, 2^56048160 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 56048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102731328).

56048160 is an abundant number, since it is smaller than the sum of its proper divisors (149414496).

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

56048160 is a wasteful number, since it uses less digits than its factorization.

56048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2400 counting only the distinct ones).

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

The square root of 56048160 is about 7486.5319073654. The cubic root of 56048160 is about 382.6958798505.

The spelling of 56048160 in words is "fifty-six million, forty-eight thousand, one hundred sixty".