368704 has 28 divisors (see below), whose sum is σ = 837184. Its totient is φ = 157824.

The previous prime is 368689. The next prime is 368717. The reversal of 368704 is 407863.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3¹⁰ + 6⁶ + 7³ + 8³ + 0 + 4⁹ .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 859.

2³⁶⁸⁷⁰⁴ 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 368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418592).

368704 is an abundant number, since it is smaller than the sum of its proper divisors (468480).

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

368704 is an equidigital number, since it uses as much as digits as its factorization.

368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 368704 is about 607.2100130927. The cubic root of 368704 is about 71.7066251536.

The spelling of 368704 in words is "three hundred sixty-eight thousand, seven hundred four".