56001600 has 126 divisors (see below), whose sum is σ = 199094090. Its totient is φ = 14929920.

The previous prime is 56001577. The next prime is 56001601. The reversal of 56001600 is 610065.

56001600 is a `hidden beast` number, since 5 + 60 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 48776256 = 2688^2 + 6984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (56001601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12456 + ... + 16344.

Almost surely, 2^56001600 is an apocalyptic number.

56001600 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 56001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99547045).

56001600 is an abundant number, since it is smaller than the sum of its proper divisors (143092490).

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

56001600 is a wasteful number, since it uses less digits than its factorization.

56001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56001600 is about 7483.4216772811. The cubic root of 56001600 is about 382.5898801982.

Adding to 56001600 its reverse (610065), we get a palindrome (56611665).

The spelling of 56001600 in words is "fifty-six million, one thousand, six hundred".