320436064 has 96 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 137894400.

The previous prime is 320436047. The next prime is 320436073. The reversal of 320436064 is 460634023.

It is a super-2 number, since 2×320436064² = 205358542223624192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560899 + ... + 561469.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^320436064 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 320436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

320436064 is an abundant number, since it is smaller than the sum of its proper divisors (406049696).

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

320436064 is a wasteful number, since it uses less digits than its factorization.

320436064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 320436064 is about 17900.7280298875. The cubic root of 320436064 is about 684.3009288808.

The spelling of 320436064 in words is "three hundred twenty million, four hundred thirty-six thousand, sixty-four".