312064 has 36 divisors (see below), whose sum is σ = 662256. Its totient is φ = 146432.

The previous prime is 312047. The next prime is 312071. The reversal of 312064 is 460213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 5862 + ... + 5914.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2³¹²⁰⁶⁴ 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 312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128).

312064 is an abundant number, since it is smaller than the sum of its proper divisors (350192).

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

312064 is an equidigital number, since it uses as much as digits as its factorization.

312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312064 is about 558.6268880031. The cubic root of 312064 is about 67.8288660973.

Adding to 312064 its reverse (460213), we get a palindrome (772277).

The spelling of 312064 in words is "three hundred twelve thousand, sixty-four".