11149080 has 64 divisors (see below), whose sum is σ = 34097760. Its totient is φ = 2915328.

The previous prime is 11149063. The next prime is 11149109. The reversal of 11149080 is 8094111.

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 11149080.

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, 5484 + ... + 7236.

Almost surely, 2^11149080 is an apocalyptic number.

11149080 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 11149080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048880).

11149080 is an abundant number, since it is smaller than the sum of its proper divisors (22948680).

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

11149080 is a wasteful number, since it uses less digits than its factorization.

11149080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1816 counting only the distinct ones).

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

The square root of 11149080 is about 3339.0238094389. The cubic root of 11149080 is about 223.3982039718.

The spelling of 11149080 in words is "eleven million, one hundred forty-nine thousand, eighty".