321006960 has 120 divisors (see below), whose sum is σ = 1083670224. Its totient is φ = 85155840.

The previous prime is 321006947. The next prime is 321006967. The reversal of 321006960 is 69600123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321006967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150864 + ... + 152976.

Almost surely, 2^321006960 is an apocalyptic number.

321006960 is a gapful number since it is divisible by the number (30) 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 321006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541835112).

321006960 is an abundant number, since it is smaller than the sum of its proper divisors (762663264).

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

321006960 is a wasteful number, since it uses less digits than its factorization.

321006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 321006960 is about 17916.6671007752. The cubic root of 321006960 is about 684.7070763474.

It can be divided in two parts, 32100 and 6960, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 321006960 in words is "three hundred twenty-one million, six thousand, nine hundred sixty".