56640100 has 108 divisors (see below), whose sum is σ = 140379904. Its totient is φ = 19800000.

The previous prime is 56640097. The next prime is 56640109. The reversal of 56640100 is 104665.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56640109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375025 + ... + 375175.

Almost surely, 2^56640100 is an apocalyptic number.

56640100 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 56640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70189952).

56640100 is an abundant number, since it is smaller than the sum of its proper divisors (83739804).

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

56640100 is a wasteful number, since it uses less digits than its factorization.

56640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56640100 is about 7525.9617325628. The cubic root of 56640100 is about 384.0384166571.

Adding to 56640100 its reverse (104665), we get a palindrome (56744765).

The spelling of 56640100 in words is "fifty-six million, six hundred forty thousand, one hundred".