321564960 has 144 divisors (see below), whose sum is σ = 1108126656. Its totient is φ = 84908544.

The previous prime is 321564923. The next prime is 321564973. The reversal of 321564960 is 69465123.

It is a happy number.

321564960 is a `hidden beast` number, since 3 + 2 + 1 + 5 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×321564960³ (a number of 26 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 153037 + ... + 155123.

It is an arithmetic number, because the mean of its divisors is an integer number (7695324).

Almost surely, 2^321564960 is an apocalyptic number.

321564960 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 321564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554063328).

321564960 is an abundant number, since it is smaller than the sum of its proper divisors (786561696).

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

321564960 is a wasteful number, since it uses less digits than its factorization.

321564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 321564960 is about 17932.2324321318. The cubic root of 321564960 is about 685.1035842431.

The spelling of 321564960 in words is "three hundred twenty-one million, five hundred sixty-four thousand, nine hundred sixty".