364160 has 32 divisors (see below), whose sum is σ = 872100. Its totient is φ = 145408.

The previous prime is 364141. The next prime is 364171. The reversal of 364160 is 61463.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 23104 = 584^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×364160² = 265225011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356 + ... + 924.

2³⁶⁴¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436050).

364160 is an abundant number, since it is smaller than the sum of its proper divisors (507940).

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

364160 is an equidigital number, since it uses as much as digits as its factorization.

364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 364160 is about 603.4567093007. The cubic root of 364160 is about 71.4108298794.

The spelling of 364160 in words is "three hundred sixty-four thousand, one hundred sixty".