3111264 has 96 divisors (see below), whose sum is σ = 9807840. Its totient is φ = 953856.

The previous prime is 3111223. The next prime is 3111271. The reversal of 3111264 is 4621113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11094 + ... + 11370.

It is an arithmetic number, because the mean of its divisors is an integer number (102165).

Almost surely, 2^3111264 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 3111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903920).

3111264 is an abundant number, since it is smaller than the sum of its proper divisors (6696576).

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

3111264 is a wasteful number, since it uses less digits than its factorization.

3111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3111264 is about 1763.8775467702. The cubic root of 3111264 is about 145.9863626469.

Adding to 3111264 its reverse (4621113), we get a palindrome (7732377).

It can be divided in two parts, 3111 and 264, that added together give a cube (3375 = 15³).

The spelling of 3111264 in words is "three million, one hundred eleven thousand, two hundred sixty-four".