326941200 has 180 divisors, whose sum is σ = 1142809668. Its totient is φ = 86553600.

The previous prime is 326941177. The next prime is 326941201. The reversal of 326941200 is 2149623.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 324432144 = 1584^2 + 18012^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (326941201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 708970 + ... + 709430.

Almost surely, 2^326941200 is an apocalyptic number.

326941200 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 326941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571404834).

326941200 is an abundant number, since it is smaller than the sum of its proper divisors (815868468).

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

326941200 is a wasteful number, since it uses less digits than its factorization.

326941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 326941200 is about 18081.5154232161. The cubic root of 326941200 is about 688.9005806009.

The spelling of 326941200 in words is "three hundred twenty-six million, nine hundred forty-one thousand, two hundred".