368180 has 24 divisors (see below), whose sum is σ = 793800. Its totient is φ = 143360.

The previous prime is 368171. The next prime is 368189. The reversal of 368180 is 81863.

It is an interprime number because it is at equal distance from previous prime (368171) and next prime (368189).

It can be written as a sum of positive squares in 4 ways, for example, as 3364 + 364816 = 58^2 + 604^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368180.

It is not an unprimeable number, because it can be changed into a prime (368189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2³⁶⁸¹⁸⁰ 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 368180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396900).

368180 is an abundant number, since it is smaller than the sum of its proper divisors (425620).

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

368180 is a wasteful number, since it uses less digits than its factorization.

368180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 368180 is about 606.7783779932. The cubic root of 368180 is about 71.6726393676.

The spelling of 368180 in words is "three hundred sixty-eight thousand, one hundred eighty".