322081920 has 384 divisors, whose sum is σ = 1225224000. Its totient is φ = 80621568.

The previous prime is 322081883. The next prime is 322081933. The reversal of 322081920 is 29180223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2954826 + ... + 2954934.

Almost surely, 2^322081920 is an apocalyptic number.

322081920 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 322081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612612000).

322081920 is an abundant number, since it is smaller than the sum of its proper divisors (903142080).

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

322081920 is a wasteful number, since it uses less digits than its factorization.

322081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 322081920 is about 17946.6409113238. The cubic root of 322081920 is about 685.4705204968.

The spelling of 322081920 in words is "three hundred twenty-two million, eighty-one thousand, nine hundred twenty".