322166016 has 108 divisors (see below), whose sum is σ = 943199712. Its totient is φ = 105735168.

The previous prime is 322165973. The next prime is 322166023. The reversal of 322166016 is 610661223.

322166016 is a `hidden beast` number, since 32 + 21 + 6 + 601 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 153325 + ... + 155411.

Almost surely, 2^322166016 is an apocalyptic number.

322166016 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 322166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471599856).

322166016 is an abundant number, since it is smaller than the sum of its proper divisors (621033696).

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

322166016 is a wasteful number, since it uses less digits than its factorization.

322166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

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

The square root of 322166016 is about 17948.9837038201. The cubic root of 322166016 is about 685.5301743808.

The spelling of 322166016 in words is "three hundred twenty-two million, one hundred sixty-six thousand, sixteen".