320664000 has 224 divisors, whose sum is σ = 1095524352. Its totient is φ = 82560000.

The previous prime is 320663983. The next prime is 320664017. The reversal of 320664000 is 466023.

It is an interprime number because it is at equal distance from previous prime (320663983) and next prime (320664017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743785 + ... + 744215.

Almost surely, 2^320664000 is an apocalyptic number.

320664000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547762176).

320664000 is an abundant number, since it is smaller than the sum of its proper divisors (774860352).

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

320664000 is a wasteful number, since it uses less digits than its factorization.

320664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 320664000 is about 17907.0935665172. The cubic root of 320664000 is about 684.4631451697.

The spelling of 320664000 in words is "three hundred twenty million, six hundred sixty-four thousand".