322145964 has 96 divisors (see below), whose sum is σ = 964185600. Its totient is φ = 91108800.

The previous prime is 322145947. The next prime is 322145977. The reversal of 322145964 is 469541223.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74247 + ... + 78465.

It is an arithmetic number, because the mean of its divisors is an integer number (10043600).

Almost surely, 2^322145964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322145964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482092800).

322145964 is an abundant number, since it is smaller than the sum of its proper divisors (642039636).

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

322145964 is a wasteful number, since it uses less digits than its factorization.

322145964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4332 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 322145964 is about 17948.4251119701. The cubic root of 322145964 is about 685.5159513451.

The spelling of 322145964 in words is "three hundred twenty-two million, one hundred forty-five thousand, nine hundred sixty-four".