56436600 has 192 divisors, whose sum is σ = 202487040. Its totient is φ = 12851200.

The previous prime is 56436559. The next prime is 56436619. The reversal of 56436600 is 663465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111949 + ... + 112451.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^56436600 is an apocalyptic number.

56436600 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 56436600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

56436600 is an abundant number, since it is smaller than the sum of its proper divisors (146050440).

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

56436600 is a wasteful number, since it uses less digits than its factorization.

56436600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56436600 is about 7512.4297001702. The cubic root of 56436600 is about 383.5779325286.

The spelling of 56436600 in words is "fifty-six million, four hundred thirty-six thousand, six hundred".