56632400 has 120 divisors (see below), whose sum is σ = 151576608. Its totient is φ = 20160000.

The previous prime is 56632397. The next prime is 56632403. The reversal of 56632400 is 423665.

It is an interprime number because it is at equal distance from previous prime (56632397) and next prime (56632403).

It is a self number, because there is not a number n which added to its sum of digits gives 56632400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56632403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268295 + ... + 268505.

Almost surely, 2^56632400 is an apocalyptic number.

56632400 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 56632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75788304).

56632400 is an abundant number, since it is smaller than the sum of its proper divisors (94944208).

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

56632400 is a wasteful number, since it uses less digits than its factorization.

56632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 56632400 is about 7525.4501526487. The cubic root of 56632400 is about 384.0210130284.

The spelling of 56632400 in words is "fifty-six million, six hundred thirty-two thousand, four hundred".