668288 has 32 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 318208.

The previous prime is 668273. The next prime is 668303. The reversal of 668288 is 882866.

It is an interprime number because it is at equal distance from previous prime (668273) and next prime (668303).

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a plaindrome in base 14.

It is an unprimeable number.

668288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2831 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2⁶⁶⁸²⁸⁸ 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 668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

668288 is an abundant number, since it is smaller than the sum of its proper divisors (727072).

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

668288 is a wasteful number, since it uses less digits than its factorization.

668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 668288 is about 817.4888378443. The cubic root of 668288 is about 87.4288073974.

The spelling of 668288 in words is "six hundred sixty-eight thousand, two hundred eighty-eight".