368632 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 162400.

The previous prime is 368609. The next prime is 368633. The reversal of 368632 is 236863.

It is a self number, because there is not a number n which added to its sum of digits gives 368632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368633) by changing a digit.

368632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5157 + ... + 5227.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³⁶⁸⁶³² 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 368632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

368632 is an abundant number, since it is smaller than the sum of its proper divisors (408968).

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

368632 is a wasteful number, since it uses less digits than its factorization.

368632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 368632 is about 607.1507226381. The cubic root of 368632 is about 71.7019572601.

Multiplying 368632 by its sum of digits (28), we get a triangular number (10321696 = T₄₅₄₃).

Subtracting from 368632 its reverse (236863), we obtain a square (131769 = 363²).

It can be divided in two parts, 368 and 632, that added together give a cube (1000 = 10³).

The spelling of 368632 in words is "three hundred sixty-eight thousand, six hundred thirty-two".