358560 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 94464.

The previous prime is 358541. The next prime is 358571. The reversal of 358560 is 65853.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

358560 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 15 ways as a sum of consecutive naturals, for example, 4279 + ... + 4361.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2³⁵⁸⁵⁶⁰ is an apocalyptic number.

358560 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 358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

358560 is an abundant number, since it is smaller than the sum of its proper divisors (911520).

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

358560 is a wasteful number, since it uses less digits than its factorization.

358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 358560 is about 598.7987975940. The cubic root of 358560 is about 71.0428888526.

The spelling of 358560 in words is "three hundred fifty-eight thousand, five hundred sixty".