56633500 has 96 divisors (see below), whose sum is σ = 154312704. Its totient is φ = 17640000.

The previous prime is 56633483. The next prime is 56633501. The reversal of 56633500 is 533665.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37765 + ... + 39235.

It is an arithmetic number, because the mean of its divisors is an integer number (1607424).

Almost surely, 2^56633500 is an apocalyptic number.

56633500 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 56633500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77156352).

56633500 is an abundant number, since it is smaller than the sum of its proper divisors (97679204).

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

56633500 is a wasteful number, since it uses less digits than its factorization.

56633500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 56633500 is about 7525.5232376228. The cubic root of 56633500 is about 384.0234993576.

The spelling of 56633500 in words is "fifty-six million, six hundred thirty-three thousand, five hundred".