364736 has 28 divisors (see below), whose sum is σ = 746760. Its totient is φ = 176640.

The previous prime is 364717. The next prime is 364739. The reversal of 364736 is 637463.

It is a junction number, because it is equal to n+sod(n) for n = 364699 and 364708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364736.

It is not an unprimeable number, because it can be changed into a prime (364739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2³⁶⁴⁷³⁶ 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 364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373380).

364736 is an abundant number, since it is smaller than the sum of its proper divisors (382024).

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

364736 is a wasteful number, since it uses less digits than its factorization.

364736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 364736 is about 603.9337712034. The cubic root of 364736 is about 71.4484607470.

The spelling of 364736 in words is "three hundred sixty-four thousand, seven hundred thirty-six".