56086400 has 96 divisors (see below), whose sum is σ = 146843280. Its totient is φ = 21094400.

The previous prime is 56086399. The next prime is 56086421. The reversal of 56086400 is 468065.

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, 53885 + ... + 54915.

Almost surely, 2^56086400 is an apocalyptic number.

56086400 is a gapful number since it is divisible by the number (50) 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 56086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421640).

56086400 is an abundant number, since it is smaller than the sum of its proper divisors (90756880).

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

56086400 is a wasteful number, since it uses less digits than its factorization.

56086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56086400 is about 7489.0853914213. The cubic root of 56086400 is about 382.7828940869.

The spelling of 56086400 in words is "fifty-six million, eighty-six thousand, four hundred".