3200920 has 32 divisors (see below), whose sum is σ = 7373520. Its totient is φ = 1249920.

The previous prime is 3200917. The next prime is 3200929. The reversal of 3200920 is 290023.

3200920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3200894 and 3200903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200929) 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 7 ways as a sum of consecutive naturals, for example, 790 + ... + 2650.

Almost surely, 2^3200920 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 3200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686760).

3200920 is an abundant number, since it is smaller than the sum of its proper divisors (4172600).

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

3200920 is a wasteful number, since it uses less digits than its factorization.

3200920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3200920 is about 1789.1115113374. Note that the first 3 decimals coincide. The cubic root of 3200920 is about 147.3753807132.

Adding to 3200920 its reverse (290023), we get a palindrome (3490943).

The spelling of 3200920 in words is "three million, two hundred thousand, nine hundred twenty".