10444680 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 2633472.

The previous prime is 10444631. The next prime is 10444717. The reversal of 10444680 is 8644401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20266 + ... + 20774.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^10444680 is an apocalyptic number.

10444680 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 10444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

10444680 is an abundant number, since it is smaller than the sum of its proper divisors (26275320).

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

10444680 is a wasteful number, since it uses less digits than its factorization.

10444680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10444680 is about 3231.8230149561. The cubic root of 10444680 is about 218.5907161537.

The spelling of 10444680 in words is "ten million, four hundred forty-four thousand, six hundred eighty".