668291472 has 100 divisors (see below), whose sum is σ = 1981563276. Its totient is φ = 217313280.

The previous prime is 668291461. The next prime is 668291479. The reversal of 668291472 is 274192866.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 312440976 + 355850496 = 17676^2 + 18864^2 .

It is a super-2 number, since 2×668291472² = 893226983095853568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (668291479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46848 + ... + 59424.

Almost surely, 2^668291472 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 668291472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990781638).

668291472 is an abundant number, since it is smaller than the sum of its proper divisors (1313271804).

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

668291472 is a wasteful number, since it uses less digits than its factorization.

668291472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12638 (or 12623 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 668291472 is about 25851.3340468147. The cubic root of 668291472 is about 874.2895880534.

The spelling of 668291472 in words is "six hundred sixty-eight million, two hundred ninety-one thousand, four hundred seventy-two".