326979072 has 320 divisors, whose sum is σ = 1152307200. Its totient is φ = 89579520.

The previous prime is 326979067. The next prime is 326979073. The reversal of 326979072 is 270979623.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326979073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999754 + ... + 2999862.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 2^326979072 is an apocalyptic number.

326979072 is a gapful number since it is divisible by the number (32) 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 326979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576153600).

326979072 is an abundant number, since it is smaller than the sum of its proper divisors (825328128).

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

326979072 is a wasteful number, since it uses less digits than its factorization.

326979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 326979072 is about 18082.5626502440. The cubic root of 326979072 is about 688.9271797115.

The spelling of 326979072 in words is "three hundred twenty-six million, nine hundred seventy-nine thousand, seventy-two".