56144880 has 320 divisors, whose sum is σ = 224985600. Its totient is φ = 12718080.

The previous prime is 56144833. The next prime is 56144911. The reversal of 56144880 is 8844165.

It is a super-5 number, since 5×56144880⁵ (a number of 40 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403851 + ... + 403989.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^56144880 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 56144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

56144880 is an abundant number, since it is smaller than the sum of its proper divisors (168840720).

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

56144880 is a wasteful number, since it uses less digits than its factorization.

56144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56144880 is about 7492.9887227995. The cubic root of 56144880 is about 382.9158875160.

The spelling of 56144880 in words is "fifty-six million, one hundred forty-four thousand, eight hundred eighty".