322161408 has 144 divisors (see below), whose sum is σ = 962805760. Its totient is φ = 106251264.

The previous prime is 322161403. The next prime is 322161431. The reversal of 322161408 is 804161223.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (322161403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877641 + ... + 878007.

Almost surely, 2^322161408 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 322161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481402880).

322161408 is an abundant number, since it is smaller than the sum of its proper divisors (640644352).

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

322161408 is a wasteful number, since it uses less digits than its factorization.

322161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 322161408 is about 17948.8553395474. The cubic root of 322161408 is about 685.5269059437.

The spelling of 322161408 in words is "three hundred twenty-two million, one hundred sixty-one thousand, four hundred eight".