10509920 has 24 divisors (see below), whose sum is σ = 24830064. Its totient is φ = 4203904.

The previous prime is 10509913. The next prime is 10509937. The reversal of 10509920 is 2990501.

It is a happy number.

It is a super-3 number, since 3×10509920³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10509920.

It is a congruent number.

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, 32684 + ... + 33003.

It is an arithmetic number, because the mean of its divisors is an integer number (1034586).

Almost surely, 2^10509920 is an apocalyptic number.

10509920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509920 is an abundant number, since it is smaller than the sum of its proper divisors (14320144).

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

10509920 is an equidigital number, since it uses as much as digits as its factorization.

10509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65702 (or 65694 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 10509920 is about 3241.9006770720. The cubic root of 10509920 is about 219.0448953363.

The spelling of 10509920 in words is "ten million, five hundred nine thousand, nine hundred twenty".