321916896 has 384 divisors, whose sum is σ = 1184440320. Its totient is φ = 82944000.

The previous prime is 321916853. The next prime is 321916897. The reversal of 321916896 is 698619123.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321916897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3187246 + ... + 3187346.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^321916896 is an apocalyptic number.

321916896 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 321916896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

321916896 is an abundant number, since it is smaller than the sum of its proper divisors (862523424).

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

321916896 is a wasteful number, since it uses less digits than its factorization.

321916896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 321916896 is about 17942.0426930715. The cubic root of 321916896 is about 685.3534297764.

The spelling of 321916896 in words is "three hundred twenty-one million, nine hundred sixteen thousand, eight hundred ninety-six".