32840320 has 96 divisors (see below), whose sum is σ = 82916820. Its totient is φ = 12435456.

The previous prime is 32840299. The next prime is 32840321. The reversal of 32840320 is 2304823.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 304704 = 5704^2 + 552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32840291 and 32840300.

It is not an unprimeable number, because it can be changed into a prime (32840321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338512 + ... + 338608.

Almost surely, 2^32840320 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 32840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41458410).

32840320 is an abundant number, since it is smaller than the sum of its proper divisors (50076500).

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

32840320 is an equidigital number, since it uses as much as digits as its factorization.

32840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 32840320 is about 5730.6474328823. The cubic root of 32840320 is about 320.2352436881.

The spelling of 32840320 in words is "thirty-two million, eight hundred forty thousand, three hundred twenty".