320173920 has 576 divisors, whose sum is σ = 1337394240. Its totient is φ = 68812800.

The previous prime is 320173897. The next prime is 320173951. The reversal of 320173920 is 29371023.

It is a super-2 number, since 2×320173920² = 205022678096332800, 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 95 ways as a sum of consecutive naturals, for example, 7809100 + ... + 7809140.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^320173920 is an apocalyptic number.

320173920 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 320173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

320173920 is an abundant number, since it is smaller than the sum of its proper divisors (1017220320).

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

320173920 is a wasteful number, since it uses less digits than its factorization.

320173920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 320173920 is about 17893.4043714437. The cubic root of 320173920 is about 684.1142724849.

It can be divided in two parts, 32017 and 3920, that added together give a cube (35937 = 33³).

The spelling of 320173920 in words is "three hundred twenty million, one hundred seventy-three thousand, nine hundred twenty".