10646720 has 112 divisors (see below), whose sum is σ = 29870400. Its totient is φ = 3612672.

The previous prime is 10646719. The next prime is 10646731. The reversal of 10646720 is 2764601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10646720² = 226705293516800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10646720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109712 + ... + 109808.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 2^10646720 is an apocalyptic number.

10646720 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 10646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935200).

10646720 is an abundant number, since it is smaller than the sum of its proper divisors (19223680).

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

10646720 is an frugal number, since it uses more digits than its factorization.

10646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10646720 is about 3262.9311975584. The cubic root of 10646720 is about 219.9911842197.

The spelling of 10646720 in words is "ten million, six hundred forty-six thousand, seven hundred twenty".