668352 has 42 divisors (see below), whose sum is σ = 1798828. Its totient is φ = 219008.

The previous prime is 668347. The next prime is 668407. The reversal of 668352 is 253866.

It is a d-powerful number, because it can be written as 6⁵ + 6⁵ + 3³ + 8⁶ + 5⁸ + 2² .

Its product of digits (8640) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

668352 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, 11299 + ... + 11357.

668352 is a Friedman number, since it can be written as (8*(65-6))^2*3, using all its digits and the basic arithmetic operations.

2⁶⁶⁸³⁵² 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 668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899414).

668352 is an abundant number, since it is smaller than the sum of its proper divisors (1130476).

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

668352 is an equidigital number, since it uses as much as digits as its factorization.

668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 64 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 668352 is about 817.5279811725. The cubic root of 668352 is about 87.4315982426.

The spelling of 668352 in words is "six hundred sixty-eight thousand, three hundred fifty-two".