368576 has 28 divisors (see below), whose sum is σ = 789432. Its totient is φ = 169728.

The previous prime is 368551. The next prime is 368579. The reversal of 368576 is 675863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368579) by changing a digit.

368576 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 3 ways as a sum of consecutive naturals, for example, 611 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (28194).

2³⁶⁸⁵⁷⁶ 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 368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394716).

368576 is an abundant number, since it is smaller than the sum of its proper divisors (420856).

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

368576 is a wasteful number, since it uses less digits than its factorization.

368576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 368576 is about 607.1046038369. The cubic root of 368576 is about 71.6983262559.

It can be divided in two parts, 36857 and 6, that added together give a palindrome (36863).

The spelling of 368576 in words is "three hundred sixty-eight thousand, five hundred seventy-six".