56624000 has 64 divisors (see below), whose sum is σ = 140821200. Its totient is φ = 22643200.

The previous prime is 56623997. The next prime is 56624003. The reversal of 56624000 is 42665.

It is an interprime number because it is at equal distance from previous prime (56623997) and next prime (56624003).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56624003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14231 + ... + 17769.

Almost surely, 2^56624000 is an apocalyptic number.

56624000 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 56624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70410600).

56624000 is an abundant number, since it is smaller than the sum of its proper divisors (84197200).

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

56624000 is an equidigital number, since it uses as much as digits as its factorization.

56624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 56624000 is about 7524.8920258034. The cubic root of 56624000 is about 384.0020254523.

Adding to 56624000 its reverse (42665), we get a palindrome (56666665).

The spelling of 56624000 in words is "fifty-six million, six hundred twenty-four thousand".