3000920 has 64 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 1064448.

The previous prime is 3000919. The next prime is 3000929. The reversal of 3000920 is 290003.

It is a happy number.

3000920 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 = 3000895 and 3000904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000929) 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 15 ways as a sum of consecutive naturals, for example, 14981 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

Almost surely, 2^3000920 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 3000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

3000920 is an abundant number, since it is smaller than the sum of its proper divisors (4559080).

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

3000920 is a wasteful number, since it uses less digits than its factorization.

3000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3000920 is about 1732.3163683346. The cubic root of 3000920 is about 144.2396985195.

Adding to 3000920 its reverse (290003), we get a palindrome (3290923).

The spelling of 3000920 in words is "three million, nine hundred twenty", and thus it is an aban number.