56649960 has 96 divisors (see below), whose sum is σ = 189132840. Its totient is φ = 14694912.

The previous prime is 56649959. The next prime is 56649961. The reversal of 56649960 is 6994665.

It is an interprime number because it is at equal distance from previous prime (56649959) and next prime (56649961).

It can be written as a sum of positive squares in 4 ways, for example, as 45239076 + 11410884 = 6726^2 + 3378^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56649961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11194 + ... + 15446.

Almost surely, 2^56649960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56649960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94566420).

56649960 is an abundant number, since it is smaller than the sum of its proper divisors (132482880).

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

56649960 is a wasteful number, since it uses less digits than its factorization.

56649960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 56649960 is about 7526.6167698376. The cubic root of 56649960 is about 384.0607000399.

The spelling of 56649960 in words is "fifty-six million, six hundred forty-nine thousand, nine hundred sixty".