321096816 has 120 divisors (see below), whose sum is σ = 984512880. Its totient is φ = 97241088.

The previous prime is 321096709. The next prime is 321096817. The reversal of 321096816 is 618690123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321096817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68731 + ... + 73253.

It is an arithmetic number, because the mean of its divisors is an integer number (8204274).

Almost surely, 2^321096816 is an apocalyptic number.

321096816 is a gapful number since it is divisible by the number (36) 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 321096816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492256440).

321096816 is an abundant number, since it is smaller than the sum of its proper divisors (663416064).

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

321096816 is a wasteful number, since it uses less digits than its factorization.

321096816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 321096816 is about 17919.1745345593. The cubic root of 321096816 is about 684.7709579315.

The spelling of 321096816 in words is "three hundred twenty-one million, ninety-six thousand, eight hundred sixteen".