56632500 has 120 divisors (see below), whose sum is σ = 183691200. Its totient is φ = 15084000.

The previous prime is 56632481. The next prime is 56632501. The reversal of 56632500 is 523665.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56632501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67081 + ... + 67919.

It is an arithmetic number, because the mean of its divisors is an integer number (1530760).

Almost surely, 2^56632500 is an apocalyptic number.

56632500 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 56632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91845600).

56632500 is an abundant number, since it is smaller than the sum of its proper divisors (127058700).

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

56632500 is a wasteful number, since it uses less digits than its factorization.

56632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56632500 is about 7525.4567967666. The cubic root of 56632500 is about 384.0212390596.

The spelling of 56632500 in words is "fifty-six million, six hundred thirty-two thousand, five hundred".