56084616 has 128 divisors (see below), whose sum is σ = 181920000. Its totient is φ = 16003008.

The previous prime is 56084543. The next prime is 56084627. The reversal of 56084616 is 61648065.

56084616 is a `hidden beast` number, since 5 + 608 + 46 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73710 + ... + 74466.

It is an arithmetic number, because the mean of its divisors is an integer number (1421250).

Almost surely, 2^56084616 is an apocalyptic number.

56084616 is a gapful number since it is divisible by the number (56) 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 56084616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90960000).

56084616 is an abundant number, since it is smaller than the sum of its proper divisors (125835384).

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

56084616 is a wasteful number, since it uses less digits than its factorization.

56084616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56084616 is about 7488.9662838071. The cubic root of 56084616 is about 382.7788355158.

The spelling of 56084616 in words is "fifty-six million, eighty-four thousand, six hundred sixteen".