320844672 has 256 divisors, whose sum is σ = 1034035200. Its totient is φ = 97542144.

The previous prime is 320844653. The next prime is 320844673. The reversal of 320844672 is 276448023.

320844672 is a `hidden beast` number, since 3 + 208 + 446 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320844673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526273 + ... + 2526399.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^320844672 is an apocalyptic number.

320844672 is a gapful number since it is divisible by the number (32) 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 320844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517017600).

320844672 is an abundant number, since it is smaller than the sum of its proper divisors (713190528).

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

320844672 is a wasteful number, since it uses less digits than its factorization.

320844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 320844672 is about 17912.1375608831. The cubic root of 320844672 is about 684.5916702587.

The spelling of 320844672 in words is "three hundred twenty million, eight hundred forty-four thousand, six hundred seventy-two".