321166944 has 240 divisors, whose sum is σ = 1116251136. Its totient is φ = 88646400.

The previous prime is 321166939. The next prime is 321166961. The reversal of 321166944 is 449661123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321166899 and 321166908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562179 + ... + 562749.

Almost surely, 2^321166944 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 321166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558125568).

321166944 is an abundant number, since it is smaller than the sum of its proper divisors (795084192).

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

321166944 is a wasteful number, since it uses less digits than its factorization.

321166944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 321166944 is about 17921.1312142956. The cubic root of 321166944 is about 684.8208059521.

It can be divided in two parts, 32116 and 6944, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 321166944 in words is "three hundred twenty-one million, one hundred sixty-six thousand, nine hundred forty-four".