305664 has 40 divisors (see below), whose sum is σ = 818400. Its totient is φ = 101376.

The previous prime is 305663. The next prime is 305717. The reversal of 305664 is 466503.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305664.

It is not an unprimeable number, because it can be changed into a prime (305663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1437 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (20460).

2³⁰⁵⁶⁶⁴ 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 305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409200).

305664 is an abundant number, since it is smaller than the sum of its proper divisors (512736).

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

305664 is an equidigital number, since it uses as much as digits as its factorization.

305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 305664 is about 552.8688813815. The cubic root of 305664 is about 67.3619675836.

It can be divided in two parts, 305 and 664, that added together give a palindrome (969).

The spelling of 305664 in words is "three hundred five thousand, six hundred sixty-four".