647924256 has 180 divisors, whose sum is σ = 2151789822. Its totient is φ = 184923648.

The previous prime is 647924219. The next prime is 647924261. The reversal of 647924256 is 652429746.

It can be written as a sum of positive squares in only one way, i.e., 639280656 + 8643600 = 25284^2 + 2940^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691020 + ... + 691956.

Almost surely, 2^647924256 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 647924256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075894911).

647924256 is an abundant number, since it is smaller than the sum of its proper divisors (1503865566).

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

647924256 is an equidigital number, since it uses as much as digits as its factorization.

647924256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 949 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 647924256 is about 25454.3563265701. The cubic root of 647924256 is about 865.3160242807.

The spelling of 647924256 in words is "six hundred forty-seven million, nine hundred twenty-four thousand, two hundred fifty-six".