308864 has 32 divisors (see below), whose sum is σ = 652800. Its totient is φ = 145152.

The previous prime is 308857. The next prime is 308887. The reversal of 308864 is 468803.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

308864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2369 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

308864 is a Friedman number, since it can be written as 608*(8^3-4), using all its digits and the basic arithmetic operations.

2³⁰⁸⁸⁶⁴ 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 308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326400).

308864 is an abundant number, since it is smaller than the sum of its proper divisors (343936).

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

308864 is a wasteful number, since it uses less digits than its factorization.

308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 308864 is about 555.7553418547. The cubic root of 308864 is about 67.5962230771.

The spelling of 308864 in words is "three hundred eight thousand, eight hundred sixty-four".