10444960 has 48 divisors (see below), whose sum is σ = 24967656. Its totient is φ = 4128768.

The previous prime is 10444957. The next prime is 10444961. The reversal of 10444960 is 6944401.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 3111696 = 2708^2 + 1764^2 .

It is not an unprimeable number, because it can be changed into a prime (10444961) 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, 15184 + ... + 15856.

Almost surely, 2^10444960 is an apocalyptic number.

10444960 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 10444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483828).

10444960 is an abundant number, since it is smaller than the sum of its proper divisors (14522696).

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

10444960 is an equidigital number, since it uses as much as digits as its factorization.

10444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10444960 is about 3231.8663338696. The cubic root of 10444960 is about 218.5926694560.

The spelling of 10444960 in words is "ten million, four hundred forty-four thousand, nine hundred sixty".