358661160 has 192 divisors, whose sum is σ = 1369630080. Its totient is φ = 80248320.

The previous prime is 358661143. The next prime is 358661207. The reversal of 358661160 is 61166853.

It is a happy number.

358661160 is a `hidden beast` number, since 3 + 586 + 6 + 11 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47997 + ... + 54963.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2^358661160 is an apocalyptic number.

358661160 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 358661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684815040).

358661160 is an abundant number, since it is smaller than the sum of its proper divisors (1010968920).

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

358661160 is a wasteful number, since it uses less digits than its factorization.

358661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 358661160 is about 18938.3515650122. The cubic root of 358661160 is about 710.4956929925.

It can be divided in two parts, 3586 and 61160, that added together give a palindrome (64746).

The spelling of 358661160 in words is "three hundred fifty-eight million, six hundred sixty-one thousand, one hundred sixty".