321668160 has 224 divisors, whose sum is σ = 1130637312. Its totient is φ = 76830720.

The previous prime is 321668143. The next prime is 321668201. The reversal of 321668160 is 61866123.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876297 + ... + 876663.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2^321668160 is an apocalyptic number.

321668160 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 321668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565318656).

321668160 is an abundant number, since it is smaller than the sum of its proper divisors (808969152).

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

321668160 is a wasteful number, since it uses less digits than its factorization.

321668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 321668160 is about 17935.1097013651. The cubic root of 321668160 is about 685.1768666137.

The spelling of 321668160 in words is "three hundred twenty-one million, six hundred sixty-eight thousand, one hundred sixty".