364008 has 32 divisors (see below), whose sum is σ = 943200. Its totient is φ = 116928.

The previous prime is 363989. The next prime is 364027. The reversal of 364008 is 800463.

364008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (363989) and next prime (364027).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364008.

It is an unprimeable number.

364008 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 7 ways as a sum of consecutive naturals, for example, 435 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (29475).

2³⁶⁴⁰⁰⁸ 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 364008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471600).

364008 is an abundant number, since it is smaller than the sum of its proper divisors (579192).

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

364008 is a wasteful number, since it uses less digits than its factorization.

364008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 364008 is about 603.3307550589. The cubic root of 364008 is about 71.4008928950.

The spelling of 364008 in words is "three hundred sixty-four thousand, eight".