668752 has 30 divisors (see below), whose sum is σ = 1509018. Its totient is φ = 286272.

The previous prime is 668747. The next prime is 668761. The reversal of 668752 is 257866.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 254016 = 644^2 + 504^2 .

It is a congruent number.

It is an unprimeable number.

668752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358 + ... + 1210.

2⁶⁶⁸⁷⁵² 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 668752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754509).

668752 is an abundant number, since it is smaller than the sum of its proper divisors (840266).

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

668752 is a wasteful number, since it uses less digits than its factorization.

668752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 668752 is about 817.7725845246. The cubic root of 668752 is about 87.4490369898.

The spelling of 668752 in words is "six hundred sixty-eight thousand, seven hundred fifty-two".