668946496 has 63 divisors (see below), whose sum is σ = 1375502583. Its totient is φ = 322782720.

The previous prime is 668946479. The next prime is 668946503. The reversal of 668946496 is 694649866.

The square root of 668946496 is 25864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 89870400 + 579076096 = 9480^2 + 24064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 668946496.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10966306 + ... + 10966366.

Almost surely, 2^668946496 is an apocalyptic number.

668946496 is the 25864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668946496

668946496 is an abundant number, since it is smaller than the sum of its proper divisors (706556087).

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

668946496 is an frugal number, since it uses more digits than its factorization.

668946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 116 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The cubic root of 668946496 is about 874.5751389370.

The spelling of 668946496 in words is "six hundred sixty-eight million, nine hundred forty-six thousand, four hundred ninety-six".