10444840 has 72 divisors (see below), whose sum is σ = 27717390. Its totient is φ = 3532032.

The previous prime is 10444823. The next prime is 10444849. The reversal of 10444840 is 4844401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8892324 + 1552516 = 2982^2 + 1246^2 .

It is not an unprimeable number, because it can be changed into a prime (10444849) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143044 + ... + 143116.

Almost surely, 2^10444840 is an apocalyptic number.

10444840 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 10444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858695).

10444840 is an abundant number, since it is smaller than the sum of its proper divisors (17272550).

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

10444840 is an equidigital number, since it uses as much as digits as its factorization.

10444840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 10444840 is about 3231.8477686921. The cubic root of 10444840 is about 218.5918323307.

It can be divided in two parts, 104 and 44840, that added together give a palindrome (44944).

The spelling of 10444840 in words is "ten million, four hundred forty-four thousand, eight hundred forty".