320163840 has 260 divisors, whose sum is σ = 1153653204. Its totient is φ = 84934656.

The previous prime is 320163821. The next prime is 320163919. The reversal of 320163840 is 48361023.

It is a happy number.

320163840 is a `hidden beast` number, since 3 + 20 + 1 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 224280576 = 9792^2 + 14976^2 .

It is a super-3 number, since 3×320163840³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658784 + ... + 1658976.

Almost surely, 2^320163840 is an apocalyptic number.

320163840 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 320163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576826602).

320163840 is an abundant number, since it is smaller than the sum of its proper divisors (833489364).

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

320163840 is an equidigital number, since it uses as much as digits as its factorization.

320163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320163840 is about 17893.1227011944. The cubic root of 320163840 is about 684.1070931116.

The spelling of 320163840 in words is "three hundred twenty million, one hundred sixty-three thousand, eight hundred forty".