11909856 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3303936.

The previous prime is 11909851. The next prime is 11909869. The reversal of 11909856 is 65890911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11909851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24625 + ... + 25103.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^11909856 is an apocalyptic number.

11909856 is a gapful number since it is divisible by the number (16) 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 11909856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11909856 is an abundant number, since it is smaller than the sum of its proper divisors (24861984).

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

11909856 is a wasteful number, since it uses less digits than its factorization.

11909856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11909856 is about 3451.0659222913. The cubic root of 11909856 is about 228.3681341218.

The spelling of 11909856 in words is "eleven million, nine hundred nine thousand, eight hundred fifty-six".