11091840 has 128 divisors (see below), whose sum is σ = 36352800. Its totient is φ = 2875392.

The previous prime is 11091827. The next prime is 11091851. The reversal of 11091840 is 4819011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11091840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101706 + ... + 101814.

Almost surely, 2^11091840 is an apocalyptic number.

11091840 is a gapful number since it is divisible by the number (10) 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 11091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176400).

11091840 is an abundant number, since it is smaller than the sum of its proper divisors (25260960).

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

11091840 is a wasteful number, since it uses less digits than its factorization.

11091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11091840 is about 3330.4414121855. The cubic root of 11091840 is about 223.0152348711.

The spelling of 11091840 in words is "eleven million, ninety-one thousand, eight hundred forty".