668472 has 64 divisors (see below), whose sum is σ = 2004480. Its totient is φ = 181632.

The previous prime is 668471. The next prime is 668509. The reversal of 668472 is 274866.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778 + ... + 3950.

It is an arithmetic number, because the mean of its divisors is an integer number (31320).

2⁶⁶⁸⁴⁷² 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 668472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002240).

668472 is an abundant number, since it is smaller than the sum of its proper divisors (1336008).

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

668472 is a wasteful number, since it uses less digits than its factorization.

668472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 668472 is about 817.6013698619. The cubic root of 668472 is about 87.4368305972.

The spelling of 668472 in words is "six hundred sixty-eight thousand, four hundred seventy-two".