11908872 has 48 divisors (see below), whose sum is σ = 32458140. Its totient is φ = 3944448.

The previous prime is 11908861. The next prime is 11908873. The reversal of 11908872 is 27880911.

11908872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11737476 + 171396 = 3426^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11908873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13468 + ... + 14324.

Almost surely, 2^11908872 is an apocalyptic number.

11908872 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 11908872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229070).

11908872 is an abundant number, since it is smaller than the sum of its proper divisors (20549268).

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

11908872 is a wasteful number, since it uses less digits than its factorization.

11908872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11908872 is about 3450.9233546980. The cubic root of 11908872 is about 228.3618446410.

The spelling of 11908872 in words is "eleven million, nine hundred eight thousand, eight hundred seventy-two".