368160 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 89088.

The previous prime is 368153. The next prime is 368171. The reversal of 368160 is 61863.

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 (24).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 368160.

It is a congruent number.

It is an unprimeable number.

368160 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, 6211 + ... + 6269.

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

2³⁶⁸¹⁶⁰ is an apocalyptic number.

368160 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 368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

368160 is an abundant number, since it is smaller than the sum of its proper divisors (901920).

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

368160 is a wasteful number, since it uses less digits than its factorization.

368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 368160 is about 606.7618972876. The cubic root of 368160 is about 71.6713415615.

It can be divided in two parts, 3681 and 60, that added together give a triangular number (3741 = T₈₆).

The spelling of 368160 in words is "three hundred sixty-eight thousand, one hundred sixty".