320408064 has 120 divisors (see below), whose sum is σ = 954974592. Its totient is φ = 103311360.

The previous prime is 320408063. The next prime is 320408107. The reversal of 320408064 is 460804023.

It is a super-2 number, since 2×320408064² = 205322654952456192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320408063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141727 + ... + 143969.

Almost surely, 2^320408064 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 320408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477487296).

320408064 is an abundant number, since it is smaller than the sum of its proper divisors (634566528).

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

320408064 is a wasteful number, since it uses less digits than its factorization.

320408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 320408064 is about 17899.9459217060. The cubic root of 320408064 is about 684.2809966839.

It can be divided in two parts, 32040 and 8064, that added together give a palindrome (40104).

The spelling of 320408064 in words is "three hundred twenty million, four hundred eight thousand, sixty-four".