56084964 has 48 divisors (see below), whose sum is σ = 141628032. Its totient is φ = 17171712.

The previous prime is 56084947. The next prime is 56084999. The reversal of 56084964 is 46948065.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35577 + ... + 37119.

It is an arithmetic number, because the mean of its divisors is an integer number (2950584).

Almost surely, 2^56084964 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 56084964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70814016).

56084964 is an abundant number, since it is smaller than the sum of its proper divisors (85543068).

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

56084964 is a wasteful number, since it uses less digits than its factorization.

56084964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 56084964 is about 7488.9895179523. The cubic root of 56084964 is about 382.7796272169.

The spelling of 56084964 in words is "fifty-six million, eighty-four thousand, nine hundred sixty-four".