321193680 has 80 divisors (see below), whose sum is σ = 999430080. Its totient is φ = 85330944.

The previous prime is 321193669. The next prime is 321193681. The reversal of 321193680 is 86391123.

321193680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321193681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65556 + ... + 70284.

It is an arithmetic number, because the mean of its divisors is an integer number (12492876).

Almost surely, 2^321193680 is an apocalyptic number.

321193680 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 321193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499715040).

321193680 is an abundant number, since it is smaller than the sum of its proper divisors (678236400).

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

321193680 is a wasteful number, since it uses less digits than its factorization.

321193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 321193680 is about 17921.8771338272. The cubic root of 321193680 is about 684.8398083862.

The spelling of 321193680 in words is "three hundred twenty-one million, one hundred ninety-three thousand, six hundred eighty".