56616000 has 224 divisors, whose sum is σ = 214286592. Its totient is φ = 12902400.

The previous prime is 56615929. The next prime is 56616023. The reversal of 56616000 is 61665.

56616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167832 + ... + 168168.

Almost surely, 2^56616000 is an apocalyptic number.

56616000 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 56616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107143296).

56616000 is an abundant number, since it is smaller than the sum of its proper divisors (157670592).

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

56616000 is a wasteful number, since it uses less digits than its factorization.

56616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56616000 is about 7524.3604379376. The cubic root of 56616000 is about 383.9839403006.

Adding to 56616000 its reverse (61665), we get a palindrome (56677665).

The spelling of 56616000 in words is "fifty-six million, six hundred sixteen thousand".