359160 has 64 divisors (see below), whose sum is σ = 1118880. Its totient is φ = 92160.

The previous prime is 359153. The next prime is 359167. The reversal of 359160 is 61953.

359160 = T₂₆₃ + T₂₆₄ + ... + T₂₇₂.

359160 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (359153) and next prime (359167).

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 359160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359167) by changing a digit.

359160 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, 4884 + ... + 4956.

2³⁵⁹¹⁶⁰ is an apocalyptic number.

359160 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 359160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440).

359160 is an abundant number, since it is smaller than the sum of its proper divisors (759720).

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

359160 is a wasteful number, since it uses less digits than its factorization.

359160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 359160 is about 599.2995911896. The cubic root of 359160 is about 71.0824935485.

The spelling of 359160 in words is "three hundred fifty-nine thousand, one hundred sixty".