321164144 has 80 divisors (see below), whose sum is σ = 768998400. Its totient is φ = 126842112.

The previous prime is 321164099. The next prime is 321164147. The reversal of 321164144 is 441461123.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321164147) 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, 76697 + ... + 80775.

It is an arithmetic number, because the mean of its divisors is an integer number (9612480).

Almost surely, 2^321164144 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 321164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384499200).

321164144 is an abundant number, since it is smaller than the sum of its proper divisors (447834256).

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

321164144 is a wasteful number, since it uses less digits than its factorization.

321164144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4144 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 321164144 is about 17921.0530940567. The cubic root of 321164144 is about 684.8188158098.

The spelling of 321164144 in words is "three hundred twenty-one million, one hundred sixty-four thousand, one hundred forty-four".