321980832 has 144 divisors (see below), whose sum is σ = 970849152. Its totient is φ = 104924160.

The previous prime is 321980819. The next prime is 321980837. The reversal of 321980832 is 238089123.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (321980837) 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, 365032 + ... + 365912.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2^321980832 is an apocalyptic number.

321980832 is a gapful number since it is divisible by the number (32) 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 321980832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485424576).

321980832 is an abundant number, since it is smaller than the sum of its proper divisors (648868320).

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

321980832 is an equidigital number, since it uses as much as digits as its factorization.

321980832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 321980832 is about 17943.8243415388. The cubic root of 321980832 is about 685.3987995150.

The spelling of 321980832 in words is "three hundred twenty-one million, nine hundred eighty thousand, eight hundred thirty-two".