358668 has 48 divisors (see below), whose sum is σ = 964320. Its totient is φ = 116640.

The previous prime is 358667. The next prime is 358669. The reversal of 358668 is 866853.

358668 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (358667) and next prime (358669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁴ + 5⁷ + 6 + 8 + 6⁷ + 8³ .

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 358668.

It is not an unprimeable number, because it can be changed into a prime (358667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8728 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (20090).

358668 is a Friedman number, since it can be written as 8*(6+5/6)*3^8, using all its digits and the basic arithmetic operations.

2³⁵⁸⁶⁶⁸ 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 358668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482160).

358668 is an abundant number, since it is smaller than the sum of its proper divisors (605652).

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

358668 is an equidigital number, since it uses as much as digits as its factorization.

358668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 358668 is about 598.8889713461. Note that the first 3 decimals coincide. The cubic root of 358668 is about 71.0500209567.

The spelling of 358668 in words is "three hundred fifty-eight thousand, six hundred sixty-eight".