10844672 has 40 divisors (see below), whose sum is σ = 22096800. Its totient is φ = 5315584.

The previous prime is 10844651. The next prime is 10844719. The reversal of 10844672 is 27644801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30029 + ... + 30387.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^10844672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400).

10844672 is an abundant number, since it is smaller than the sum of its proper divisors (11252128).

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

10844672 is an frugal number, since it uses more digits than its factorization.

10844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 10844672 is about 3293.1249596698. The cubic root of 10844672 is about 221.3462355989.

The spelling of 10844672 in words is "ten million, eight hundred forty-four thousand, six hundred seventy-two".