368832 has 56 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 114688.

The previous prime is 368803. The next prime is 368833. The reversal of 368832 is 238863.

368832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 368832.

It is not an unprimeable number, because it can be changed into a prime (368833) by changing a digit.

368832 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 7 ways as a sum of consecutive naturals, for example, 3208 + ... + 3320.

2³⁶⁸⁸³² is an apocalyptic number.

368832 is a gapful number since it is divisible by the number (32) 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 368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208).

368832 is an abundant number, since it is smaller than the sum of its proper divisors (673584).

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

368832 is a wasteful number, since it uses less digits than its factorization.

368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 368832 is about 607.3154040530. The cubic root of 368832 is about 71.7149221309.

The spelling of 368832 in words is "three hundred sixty-eight thousand, eight hundred thirty-two".