320688816 has 160 divisors (see below), whose sum is σ = 1046504448. Its totient is φ = 82452480.

The previous prime is 320688811. The next prime is 320688827. The reversal of 320688816 is 618886023.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (320688811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130156 + ... + 132596.

Almost surely, 2^320688816 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 320688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523252224).

320688816 is an abundant number, since it is smaller than the sum of its proper divisors (725815632).

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

320688816 is a wasteful number, since it uses less digits than its factorization.

320688816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 320688816 is about 17907.7864628770. The cubic root of 320688816 is about 684.4808014488.

The spelling of 320688816 in words is "three hundred twenty million, six hundred eighty-eight thousand, eight hundred sixteen".