320187816 has 160 divisors (see below), whose sum is σ = 975744000. Its totient is φ = 97511040.

The previous prime is 320187797. The next prime is 320187821. The reversal of 320187816 is 618781023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1608885 + ... + 1609083.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2^320187816 is an apocalyptic number.

320187816 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 320187816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872000).

320187816 is an abundant number, since it is smaller than the sum of its proper divisors (655556184).

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

320187816 is a wasteful number, since it uses less digits than its factorization.

320187816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 320187816 is about 17893.7926667322. The cubic root of 320187816 is about 684.1241695167.

The spelling of 320187816 in words is "three hundred twenty million, one hundred eighty-seven thousand, eight hundred sixteen".