56085408 has 72 divisors (see below), whose sum is σ = 166447008. Its totient is φ = 17880192.

The previous prime is 56085383. The next prime is 56085409. The reversal of 56085408 is 80458065.

It is a happy number.

56085408 is a `hidden beast` number, since 5 + 608 + 5 + 40 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (56085409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391 + ... + 10857.

It is an arithmetic number, because the mean of its divisors is an integer number (2311764).

Almost surely, 2^56085408 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 56085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83223504).

56085408 is an abundant number, since it is smaller than the sum of its proper divisors (110361600).

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

56085408 is a wasteful number, since it uses less digits than its factorization.

56085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56085408 is about 7489.0191614123. The cubic root of 56085408 is about 382.7806373136.

The spelling of 56085408 in words is "fifty-six million, eighty-five thousand, four hundred eight".