320585040 has 280 divisors, whose sum is σ = 1170996480. Its totient is φ = 81430272.

The previous prime is 320585021. The next prime is 320585059. The reversal of 320585040 is 40585023.

It is an interprime number because it is at equal distance from previous prime (320585021) and next prime (320585059).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320584995 and 320585013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1341241 + ... + 1341479.

Almost surely, 2^320585040 is an apocalyptic number.

320585040 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 320585040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585498240).

320585040 is an abundant number, since it is smaller than the sum of its proper divisors (850411440).

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

320585040 is a wasteful number, since it uses less digits than its factorization.

320585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 320585040 is about 17904.8887178893. Note that the first 3 decimals coincide. The cubic root of 320585040 is about 684.4069600387.

The spelling of 320585040 in words is "three hundred twenty million, five hundred eighty-five thousand, forty".