11089872 has 100 divisors (see below), whose sum is σ = 33008800. Its totient is φ = 3592512.

The previous prime is 11089867. The next prime is 11089877. The reversal of 11089872 is 27898011.

11089872 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 is an interprime number because it is at equal distance from previous prime (11089867) and next prime (11089877).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55629 + ... + 55827.

It is an arithmetic number, because the mean of its divisors is an integer number (330088).

Almost surely, 2^11089872 is an apocalyptic number.

11089872 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 11089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504400).

11089872 is an abundant number, since it is smaller than the sum of its proper divisors (21918928).

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

11089872 is a wasteful number, since it uses less digits than its factorization.

11089872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

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

The square root of 11089872 is about 3330.1459427479. The cubic root of 11089872 is about 223.0020443953.

The spelling of 11089872 in words is "eleven million, eighty-nine thousand, eight hundred seventy-two".