320828940 has 72 divisors (see below), whose sum is σ = 976798368. Its totient is φ = 85236480.

The previous prime is 320828939. The next prime is 320828957. The reversal of 320828940 is 49828023.

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

It is a junction number, because it is equal to n+sod(n) for n = 320828895 and 320828904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47409 + ... + 53751.

It is an arithmetic number, because the mean of its divisors is an integer number (13566644).

Almost surely, 2^320828940 is an apocalyptic number.

320828940 is a gapful number since it is divisible by the number (30) 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 320828940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488399184).

320828940 is an abundant number, since it is smaller than the sum of its proper divisors (655969428).

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

320828940 is a wasteful number, since it uses less digits than its factorization.

320828940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 320828940 is about 17911.6984119318. The cubic root of 320828940 is about 684.5804808648.

The spelling of 320828940 in words is "three hundred twenty million, eight hundred twenty-eight thousand, nine hundred forty".