56660000 has 60 divisors (see below), whose sum is σ = 139441302. Its totient is φ = 22656000.

The previous prime is 56659979. The next prime is 56660003. The reversal of 56660000 is 6665.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 169744 + 56490256 = 412^2 + 7516^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56660003) 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 9 ways as a sum of consecutive naturals, for example, 18584 + ... + 21416.

Almost surely, 2^56660000 is an apocalyptic number.

56660000 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 56660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69720651).

56660000 is an abundant number, since it is smaller than the sum of its proper divisors (82781302).

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

56660000 is an equidigital number, since it uses as much as digits as its factorization.

56660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 56660000 is about 7527.2837066235. The cubic root of 56660000 is about 384.0833875620.

Adding to 56660000 its reverse (6665), we get a palindrome (56666665).

The spelling of 56660000 in words is "fifty-six million, six hundred sixty thousand".