3111680 has 144 divisors (see below), whose sum is σ = 9271584. Its totient is φ = 983040.

The previous prime is 3111679. The next prime is 3111721. The reversal of 3111680 is 861113.

3111680 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 183032 + ... + 183048.

It is an arithmetic number, because the mean of its divisors is an integer number (64386).

Almost surely, 2^3111680 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 3111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635792).

3111680 is an abundant number, since it is smaller than the sum of its proper divisors (6159904).

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

3111680 is a wasteful number, since it uses less digits than its factorization.

3111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 3111680 is about 1763.9954648468. The cubic root of 3111680 is about 145.9928688579.

Adding to 3111680 its reverse (861113), we get a palindrome (3972793).

It can be divided in two parts, 311 and 1680, that added together give a palindrome (1991).

The spelling of 3111680 in words is "three million, one hundred eleven thousand, six hundred eighty".