56089936 has 80 divisors (see below), whose sum is σ = 133384320. Its totient is φ = 22302720.

The previous prime is 56089907. The next prime is 56089949. The reversal of 56089936 is 63998065.

56089936 is a nontrivial binomial coefficient, being equal to C(10592, 2).

It is a congruent number.

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, 169291 + ... + 169621.

It is an arithmetic number, because the mean of its divisors is an integer number (1667304).

Almost surely, 2^56089936 is an apocalyptic number.

56089936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

56089936 is the 10591-st triangular number and also the 5296-th hexagonal number.

56089936 is the 3531-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56089936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66692160).

56089936 is an abundant number, since it is smaller than the sum of its proper divisors (77294384).

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

56089936 is a wasteful number, since it uses less digits than its factorization.

56089936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 56089936 is about 7489.3214645921. The cubic root of 56089936 is about 382.7909381753.

The spelling of 56089936 in words is "fifty-six million, eighty-nine thousand, nine hundred thirty-six".