10444320 has 72 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 2784768.

The previous prime is 10444283. The next prime is 10444327. The reversal of 10444320 is 2344401.

10444320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 24336 = 3228^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10444293 and 10444302.

It is not an unprimeable number, because it can be changed into a prime (10444327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2187 + ... + 5066.

Almost surely, 2^10444320 is an apocalyptic number.

10444320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444320 is an abundant number, since it is smaller than the sum of its proper divisors (25201836).

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

10444320 is a wasteful number, since it uses less digits than its factorization.

10444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10444320 is about 3231.7673183569. The cubic root of 10444320 is about 218.5882047137.

Adding to 10444320 its reverse (2344401), we get a palindrome (12788721).

The spelling of 10444320 in words is "ten million, four hundred forty-four thousand, three hundred twenty".