326782890 has 128 divisors (see below), whose sum is σ = 1023045120. Its totient is φ = 72658944.

The previous prime is 326782879. The next prime is 326782913. The reversal of 326782890 is 98287623.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67594 + ... + 72266.

It is an arithmetic number, because the mean of its divisors is an integer number (7992540).

Almost surely, 2^326782890 is an apocalyptic number.

326782890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 326782890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511522560).

326782890 is an abundant number, since it is smaller than the sum of its proper divisors (696262230).

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

326782890 is a wasteful number, since it uses less digits than its factorization.

326782890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 326782890 is about 18077.1372180442. The cubic root of 326782890 is about 688.7893705337.

The spelling of 326782890 in words is "three hundred twenty-six million, seven hundred eighty-two thousand, eight hundred ninety".