364968 has 48 divisors (see below), whose sum is σ = 1022580. Its totient is φ = 117504.

The previous prime is 364961. The next prime is 364979. The reversal of 364968 is 869463.

364968 is a `hidden beast` number, since 3 + 649 + 6 + 8 = 666.

364968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 26244 = 582^2 + 162^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364961) 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, 2596 + ... + 2732.

2³⁶⁴⁹⁶⁸ 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 364968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511290).

364968 is an abundant number, since it is smaller than the sum of its proper divisors (657612).

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

364968 is a wasteful number, since it uses less digits than its factorization.

364968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 364968 is about 604.1258147108. The cubic root of 364968 is about 71.4636064319.

The spelling of 364968 in words is "three hundred sixty-four thousand, nine hundred sixty-eight".