647431312 has 60 divisors (see below), whose sum is σ = 1389434508. Its totient is φ = 292019200.

The previous prime is 647431303. The next prime is 647431313. The reversal of 647431312 is 213134746.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 444197776 = 14256^2 + 21076^2 .

It is not an unprimeable number, because it can be changed into a prime (647431313) 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 11 ways as a sum of consecutive naturals, for example, 264012 + ... + 266452.

Almost surely, 2^647431312 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 647431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694717254).

647431312 is an abundant number, since it is smaller than the sum of its proper divisors (742003196).

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

647431312 is a wasteful number, since it uses less digits than its factorization.

647431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2591 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 647431312 is about 25444.6715836538. The cubic root of 647431312 is about 865.0965230255.

The spelling of 647431312 in words is "six hundred forty-seven million, four hundred thirty-one thousand, three hundred twelve".