322672896 has 504 divisors, whose sum is σ = 1251091520. Its totient is φ = 80621568.

The previous prime is 322672873. The next prime is 322672897. The reversal of 322672896 is 698276223.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (322672897) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16982775 + ... + 16982793.

Almost surely, 2^322672896 is an apocalyptic number.

322672896 is a gapful number since it is divisible by the number (36) 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 322672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625545760).

322672896 is an abundant number, since it is smaller than the sum of its proper divisors (928418624).

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

322672896 is an equidigital number, since it uses as much as digits as its factorization.

322672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 322672896 is about 17963.0981737561. The cubic root of 322672896 is about 685.8895123618.

322672896 divided by its product of digits (435456) gives a triangular number (741 = T₃₈).

The spelling of 322672896 in words is "three hundred twenty-two million, six hundred seventy-two thousand, eight hundred ninety-six".