56085984 has 72 divisors (see below), whose sum is σ = 160687800. Its totient is φ = 18555648.

The previous prime is 56085977. The next prime is 56086013. The reversal of 56085984 is 48958065.

56085984 is a `hidden beast` number, since 56 + 0 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42259 + ... + 43565.

It is an arithmetic number, because the mean of its divisors is an integer number (2231775).

Almost surely, 2^56085984 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 56085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80343900).

56085984 is an abundant number, since it is smaller than the sum of its proper divisors (104601816).

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

56085984 is a wasteful number, since it uses less digits than its factorization.

56085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 56085984 is about 7489.0576176179. The cubic root of 56085984 is about 382.7819477013.

The spelling of 56085984 in words is "fifty-six million, eighty-five thousand, nine hundred eighty-four".