56610000 has 300 divisors, whose sum is σ = 215284212. Its totient is φ = 13824000.

The previous prime is 56609981. The next prime is 56610007. The reversal of 56610000 is 1665.

56610000 is a `hidden beast` number, since 5 + 661 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 23155344 + 33454656 = 4812^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56610007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529982 + ... + 1530018.

Almost surely, 2^56610000 is an apocalyptic number.

56610000 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 56610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107642106).

56610000 is an abundant number, since it is smaller than the sum of its proper divisors (158674212).

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

56610000 is a wasteful number, since it uses less digits than its factorization.

56610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

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

The square root of 56610000 is about 7523.9617223907. The cubic root of 56610000 is about 383.9703753188.

Adding to 56610000 its reverse (1665), we get a palindrome (56611665).

The spelling of 56610000 in words is "fifty-six million, six hundred ten thousand".