3112640 has 56 divisors (see below), whose sum is σ = 7571232. Its totient is φ = 1218560.

The previous prime is 3112639. The next prime is 3112661. The reversal of 3112640 is 462113.

3112640 = 88² + 89² + ... + 215².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22652 + ... + 22788.

Almost surely, 2^3112640 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 3112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785616).

3112640 is an abundant number, since it is smaller than the sum of its proper divisors (4458592).

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

3112640 is a wasteful number, since it uses less digits than its factorization.

3112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3112640 is about 1764.2675534057. The cubic root of 3112640 is about 146.0078809782.

Adding to 3112640 its reverse (462113), we get a palindrome (3574753).

The spelling of 3112640 in words is "three million, one hundred twelve thousand, six hundred forty".