56649006 has 48 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 17836224.

The previous prime is 56648989. The next prime is 56649007. The reversal of 56649006 is 60094665.

It is a happy number.

56649006 is a `hidden beast` number, since 5 + 6 + 649 + 0 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56649007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23380 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^56649006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56649006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

56649006 is an abundant number, since it is smaller than the sum of its proper divisors (73080594).

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

56649006 is a wasteful number, since it uses less digits than its factorization.

56649006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56649006 is about 7526.5533944828. The cubic root of 56649006 is about 384.0585441339.

The spelling of 56649006 in words is "fifty-six million, six hundred forty-nine thousand, six".