368032 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 149760.

The previous prime is 368029. The next prime is 368047. The reversal of 368032 is 230863.

368032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 367994 and 368012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6918 + ... + 6970.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³⁶⁸⁰³² is an apocalyptic number.

368032 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 368032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

368032 is an abundant number, since it is smaller than the sum of its proper divisors (502880).

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

368032 is a wasteful number, since it uses less digits than its factorization.

368032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 368032 is about 606.6564101697. The cubic root of 368032 is about 71.6630344893.

Adding to 368032 its reverse (230863), we get a palindrome (598895).

The spelling of 368032 in words is "three hundred sixty-eight thousand, thirty-two".