668584449 has 75 divisors (see below), whose sum is σ = 1149365327. Its totient is φ = 387234432.

The previous prime is 668584429. The next prime is 668584463. The reversal of 668584449 is 944485866.

The square root of 668584449 is 25857.

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

It can be written as a sum of positive squares in 7 ways, for example, as 610337025 + 58247424 = 24705^2 + 7632^2 .

It is not a de Polignac number, because 668584449 - 2⁷ = 668584321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 668584395 and 668584404.

It is not an unprimeable number, because it can be changed into a prime (668584429) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 39328489 + ... + 39328505.

Almost surely, 2^668584449 is an apocalyptic number.

668584449 is the 25857-th square number.

668584449 is the 12929-th centered octagonal number.

It is an amenable number.

668584449 is a deficient number, since it is larger than the sum of its proper divisors (480780878).

668584449 is an frugal number, since it uses more digits than its factorization.

668584449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The cubic root of 668584449 is about 874.4173313755.

The spelling of 668584449 in words is "six hundred sixty-eight million, five hundred eighty-four thousand, four hundred forty-nine".