321663360 has 256 divisors, whose sum is σ = 1090584000. Its totient is φ = 80510976.

The previous prime is 321663359. The next prime is 321663383. The reversal of 321663360 is 63366123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2950986 + ... + 2951094.

Almost surely, 2^321663360 is an apocalyptic number.

321663360 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 321663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545292000).

321663360 is an abundant number, since it is smaller than the sum of its proper divisors (768920640).

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

321663360 is a wasteful number, since it uses less digits than its factorization.

321663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 321663360 is about 17934.9758851246. The cubic root of 321663360 is about 685.1734584789.

The spelling of 321663360 in words is "three hundred twenty-one million, six hundred sixty-three thousand, three hundred sixty".