56088000 has 336 divisors, whose sum is σ = 216347040. Its totient is φ = 13824000.

The previous prime is 56087971. The next prime is 56088023. The reversal of 56088000 is 88065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367980 + ... + 1368020.

It is an arithmetic number, because the mean of its divisors is an integer number (643890).

Almost surely, 2^56088000 is an apocalyptic number.

56088000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108173520).

56088000 is an abundant number, since it is smaller than the sum of its proper divisors (160259040).

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

56088000 is a wasteful number, since it uses less digits than its factorization.

56088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56088000 is about 7489.1922127824. The cubic root of 56088000 is about 382.7865339878.

The spelling of 56088000 in words is "fifty-six million, eighty-eight thousand".