3200960 has 56 divisors (see below), whose sum is σ = 8717280. Its totient is φ = 1096704.

The previous prime is 3200941. The next prime is 3200971. The reversal of 3200960 is 690023.

It is a happy number.

3200960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3200960² = 20492289843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

3200960 is a modest number, since divided by 960 gives 320 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1526 + ... + 2954.

Almost surely, 2^3200960 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 3200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358640).

3200960 is an abundant number, since it is smaller than the sum of its proper divisors (5516320).

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

3200960 is a wasteful number, since it uses less digits than its factorization.

3200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3200960 is about 1789.1226900355. The cubic root of 3200960 is about 147.3759945982.

Adding to 3200960 its reverse (690023), we get a palindrome (3890983).

The spelling of 3200960 in words is "three million, two hundred thousand, nine hundred sixty".