321072768 has 128 divisors (see below), whose sum is σ = 963777600. Its totient is φ = 105200640.

The previous prime is 321072757. The next prime is 321072779. The reversal of 321072768 is 867270123.

It is an interprime number because it is at equal distance from previous prime (321072757) and next prime (321072779).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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, 210055 + ... + 211577.

Almost surely, 2^321072768 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 321072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481888800).

321072768 is an abundant number, since it is smaller than the sum of its proper divisors (642704832).

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

321072768 is a wasteful number, since it uses less digits than its factorization.

321072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 321072768 is about 17918.5035089429. The cubic root of 321072768 is about 684.7538625859.

The spelling of 321072768 in words is "three hundred twenty-one million, seventy-two thousand, seven hundred sixty-eight".