320569140 has 192 divisors, whose sum is σ = 1001226240. Its totient is φ = 76308480.

The previous prime is 320569133. The next prime is 320569169. The reversal of 320569140 is 41965023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320569098 and 320569107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1660884 + ... + 1661076.

It is an arithmetic number, because the mean of its divisors is an integer number (5214720).

Almost surely, 2^320569140 is an apocalyptic number.

320569140 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 320569140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500613120).

320569140 is an abundant number, since it is smaller than the sum of its proper divisors (680657100).

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

320569140 is a wasteful number, since it uses less digits than its factorization.

320569140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 320569140 is about 17904.4446995711. Note that the first 3 decimals coincide. The cubic root of 320569140 is about 684.3956450477.

The spelling of 320569140 in words is "three hundred twenty million, five hundred sixty-nine thousand, one hundred forty".