11839872 has 64 divisors (see below), whose sum is σ = 34320960. Its totient is φ = 3586560.

The previous prime is 11839853. The next prime is 11839873. The reversal of 11839872 is 27893811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11839872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11839873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2823 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (536265).

Almost surely, 2^11839872 is an apocalyptic number.

11839872 is a gapful number since it is divisible by the number (12) 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 11839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160480).

11839872 is an abundant number, since it is smaller than the sum of its proper divisors (22481088).

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

11839872 is a wasteful number, since it uses less digits than its factorization.

11839872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2819 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 11839872 is about 3440.9115071446. The cubic root of 11839872 is about 227.9199472731.

The spelling of 11839872 in words is "eleven million, eight hundred thirty-nine thousand, eight hundred seventy-two".