358080 has 56 divisors (see below), whose sum is σ = 1139952. Its totient is φ = 95232.

The previous prime is 358079. The next prime is 358103. The reversal of 358080 is 80853.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 358080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1146.

2³⁵⁸⁰⁸⁰ is an apocalyptic number.

358080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569976).

358080 is an abundant number, since it is smaller than the sum of its proper divisors (781872).

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

358080 is a wasteful number, since it uses less digits than its factorization.

358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 358080 is about 598.3978609587. The cubic root of 358080 is about 71.0111732730.

358080 divided by its product of nonzero digits (960) gives a palindrome (373).

The spelling of 358080 in words is "three hundred fifty-eight thousand, eighty".