321680160 has 120 divisors (see below), whose sum is σ = 1135308636. Its totient is φ = 85777920.

The previous prime is 321680159. The next prime is 321680189. The reversal of 321680160 is 61086123.

It can be written as a sum of positive squares in 2 ways, for example, as 297355536 + 24324624 = 17244^2 + 4932^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 550 + ... + 25370.

Almost surely, 2^321680160 is an apocalyptic number.

321680160 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 321680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567654318).

321680160 is an abundant number, since it is smaller than the sum of its proper divisors (813628476).

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

321680160 is a wasteful number, since it uses less digits than its factorization.

321680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24848 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 321680160 is about 17935.4442375984. Note that the first 3 decimals coincide. The cubic root of 321680160 is about 685.1853868022.

The spelling of 321680160 in words is "three hundred twenty-one million, six hundred eighty thousand, one hundred sixty".