326814080 has 64 divisors (see below), whose sum is σ = 788378400. Its totient is φ = 129540096.

The previous prime is 326814031. The next prime is 326814101. The reversal of 326814080 is 80418623.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70061 + ... + 74579.

Almost surely, 2^326814080 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 326814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394189200).

326814080 is an abundant number, since it is smaller than the sum of its proper divisors (461564320).

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

326814080 is a wasteful number, since it uses less digits than its factorization.

326814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 326814080 is about 18077.9998893683. Note that the first 3 decimals coincide. The cubic root of 326814080 is about 688.8112838158.

326814080 divided by its sum of digits (32) gives a triangular number (10212940 = T₄₅₁₉).

The spelling of 326814080 in words is "three hundred twenty-six million, eight hundred fourteen thousand, eighty".