11676144 has 80 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 3563520.

The previous prime is 11676143. The next prime is 11676149. The reversal of 11676144 is 44167611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676143) 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, 33282 + ... + 33630.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^11676144 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 11676144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

11676144 is an abundant number, since it is smaller than the sum of its proper divisors (21134256).

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

11676144 is a wasteful number, since it uses less digits than its factorization.

11676144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11676144 is about 3417.0373132291. The cubic root of 11676144 is about 226.8644678610.

The spelling of 11676144 in words is "eleven million, six hundred seventy-six thousand, one hundred forty-four".