10444880 has 40 divisors (see below), whose sum is σ = 24487272. Its totient is φ = 4143104.

The previous prime is 10444879. The next prime is 10444883. The reversal of 10444880 is 8844401.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 9388096 = 1028^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10484 + ... + 11436.

Almost surely, 2^10444880 is an apocalyptic number.

10444880 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 10444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243636).

10444880 is an abundant number, since it is smaller than the sum of its proper divisors (14042392).

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

10444880 is a wasteful number, since it uses less digits than its factorization.

10444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 10444880 is about 3231.8539570965. The cubic root of 10444880 is about 218.5921113732.

The spelling of 10444880 in words is "ten million, four hundred forty-four thousand, eight hundred eighty".