353668 has 24 divisors (see below), whose sum is σ = 749952. Its totient is φ = 142464.

The previous prime is 353657. The next prime is 353677. The reversal of 353668 is 866353.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

353668 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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2³⁵³⁶⁶⁸ 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 353668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

353668 is an abundant number, since it is smaller than the sum of its proper divisors (396284).

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

353668 is a wasteful number, since it uses less digits than its factorization.

353668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 353668 is about 594.6999243316. The cubic root of 353668 is about 70.7183179203.

The spelling of 353668 in words is "three hundred fifty-three thousand, six hundred sixty-eight".