321993768 has 64 divisors (see below), whose sum is σ = 817920000. Its totient is φ = 105622272.

The previous prime is 321993743. The next prime is 321993773. The reversal of 321993768 is 867399123.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453798 + ... + 454506.

It is an arithmetic number, because the mean of its divisors is an integer number (12780000).

Almost surely, 2^321993768 is an apocalyptic number.

It is an amenable number.

321993768 is an abundant number, since it is smaller than the sum of its proper divisors (495926232).

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

321993768 is a wasteful number, since it uses less digits than its factorization.

321993768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 321993768 is about 17944.1847961951. The cubic root of 321993768 is about 685.4079783224.

The spelling of 321993768 in words is "three hundred twenty-one million, nine hundred ninety-three thousand, seven hundred sixty-eight".