321082416 has 120 divisors (see below), whose sum is σ = 920052224. Its totient is φ = 104509440.

The previous prime is 321082409. The next prime is 321082423. The reversal of 321082416 is 614280123.

It is an interprime number because it is at equal distance from previous prime (321082409) and next prime (321082423).

It is a self number, because there is not a number n which added to its sum of digits gives 321082416.

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, 1773846 + ... + 1774026.

Almost surely, 2^321082416 is an apocalyptic number.

321082416 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 321082416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460026112).

321082416 is an abundant number, since it is smaller than the sum of its proper divisors (598969808).

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

321082416 is a wasteful number, since it uses less digits than its factorization.

321082416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 321082416 is about 17918.7727258314. The cubic root of 321082416 is about 684.7607213001.

The spelling of 321082416 in words is "three hundred twenty-one million, eighty-two thousand, four hundred sixteen".