11444880 has 80 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 2978304.

The previous prime is 11444833. The next prime is 11444887. The reversal of 11444880 is 8844411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11444887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9766 + ... + 10874.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 2^11444880 is an apocalyptic number.

11444880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

11444880 is an abundant number, since it is smaller than the sum of its proper divisors (24892080).

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

11444880 is a wasteful number, since it uses less digits than its factorization.

11444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 11444880 is about 3383.0282292644. The cubic root of 11444880 is about 225.3566688794.

The spelling of 11444880 in words is "eleven million, four hundred forty-four thousand, eight hundred eighty".