321300096 has 96 divisors (see below), whose sum is σ = 924340320. Its totient is φ = 98841600.

The previous prime is 321300079. The next prime is 321300097. The reversal of 321300096 is 690003123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (321300097) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62421 + ... + 67371.

It is an arithmetic number, because the mean of its divisors is an integer number (9628545).

Almost surely, 2^321300096 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 321300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462170160).

321300096 is an abundant number, since it is smaller than the sum of its proper divisors (603040224).

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

321300096 is a wasteful number, since it uses less digits than its factorization.

321300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 321300096 is about 17924.8457733951. The cubic root of 321300096 is about 684.9154324002.

The spelling of 321300096 in words is "three hundred twenty-one million, three hundred thousand, ninety-six".