368784 has 60 divisors (see below), whose sum is σ = 1117116. Its totient is φ = 112896.

The previous prime is 368783. The next prime is 368789. The reversal of 368784 is 487863.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 138384 = 480^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime factors (224).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368784.

It is not an unprimeable number, because it can be changed into a prime (368783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1774 + ... + 1970.

368784 is a Friedman number, since it can be written as 7683*48, using all its digits and the basic arithmetic operations.

2³⁶⁸⁷⁸⁴ 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 368784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558).

368784 is an abundant number, since it is smaller than the sum of its proper divisors (748332).

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

368784 is a wasteful number, since it uses less digits than its factorization.

368784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 368784 is about 607.2758845862. The cubic root of 368784 is about 71.7118109894.

The spelling of 368784 in words is "three hundred sixty-eight thousand, seven hundred eighty-four".