322345920 has 224 divisors, whose sum is σ = 1151119872. Its totient is φ = 75829248.

The previous prime is 322345913. The next prime is 322345921. The reversal of 322345920 is 29543223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322345921) 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, 286479 + ... + 287601.

It is an arithmetic number, because the mean of its divisors is an integer number (5138928).

Almost surely, 2^322345920 is an apocalyptic number.

322345920 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 322345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575559936).

322345920 is an abundant number, since it is smaller than the sum of its proper divisors (828773952).

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

322345920 is a wasteful number, since it uses less digits than its factorization.

322345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 322345920 is about 17953.9945416055. The cubic root of 322345920 is about 685.6577552604.

The spelling of 322345920 in words is "three hundred twenty-two million, three hundred forty-five thousand, nine hundred twenty".