305064 has 48 divisors (see below), whose sum is σ = 873600. Its totient is φ = 95904.

The previous prime is 305047. The next prime is 305069. The reversal of 305064 is 460503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305064.

It is not an unprimeable number, because it can be changed into a prime (305069) by changing a digit.

305064 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 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2³⁰⁵⁰⁶⁴ 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 305064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800).

305064 is an abundant number, since it is smaller than the sum of its proper divisors (568536).

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

305064 is a wasteful number, since it uses less digits than its factorization.

305064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305064 is about 552.3259906975. The cubic root of 305064 is about 67.3178628859.

Subtracting from 305064 its product of nonzero digits (360), we obtain a square (304704 = 552²).

Adding to 305064 its reverse (460503), we get a palindrome (765567).

The spelling of 305064 in words is "three hundred five thousand, sixty-four".