320597040 has 160 divisors (see below), whose sum is σ = 1051932672. Its totient is φ = 80640000.

The previous prime is 320597003. The next prime is 320597041. The reversal of 320597040 is 40795023.

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 = 320596989 and 320597007.

It is not an unprimeable number, because it can be changed into a prime (320597041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304515 + ... + 305565.

Almost surely, 2^320597040 is an apocalyptic number.

320597040 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 320597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525966336).

320597040 is an abundant number, since it is smaller than the sum of its proper divisors (731335632).

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

320597040 is a wasteful number, since it uses less digits than its factorization.

320597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 320597040 is about 17905.2238187631. The cubic root of 320597040 is about 684.4154994069.

The spelling of 320597040 in words is "three hundred twenty million, five hundred ninety-seven thousand, forty".