368680 has 32 divisors (see below), whose sum is σ = 894600. Its totient is φ = 135936.

The previous prime is 368653. The next prime is 368689. The reversal of 368680 is 86863.

368680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 155236 + 213444 = 394^2 + 462^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (368689) 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, 166 + ... + 874.

2³⁶⁸⁶⁸⁰ 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 368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447300).

368680 is an abundant number, since it is smaller than the sum of its proper divisors (525920).

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

368680 is a wasteful number, since it uses less digits than its factorization.

368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 368680 is about 607.1902502511. The cubic root of 368680 is about 71.7050692566.

The spelling of 368680 in words is "three hundred sixty-eight thousand, six hundred eighty".