667352 has 32 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 268800.

The previous prime is 667351. The next prime is 667361. The reversal of 667352 is 253766.

667352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (47385).

2⁶⁶⁷³⁵² 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 667352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160).

667352 is an abundant number, since it is smaller than the sum of its proper divisors (848968).

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

667352 is a wasteful number, since it uses less digits than its factorization.

667352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 667352 is about 816.9161523682. The cubic root of 667352 is about 87.3879709125.

The spelling of 667352 in words is "six hundred sixty-seven thousand, three hundred fifty-two".