11261088 has 72 divisors (see below), whose sum is σ = 32599476. Its totient is φ = 3686400.

The previous prime is 11261071. The next prime is 11261113. The reversal of 11261088 is 88016211.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 51984 = 3348^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 17248 + ... + 17888.

Almost surely, 2^11261088 is an apocalyptic number.

11261088 is a gapful number since it is divisible by the number (18) 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 11261088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299738).

11261088 is an abundant number, since it is smaller than the sum of its proper divisors (21338388).

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

11261088 is a wasteful number, since it uses less digits than its factorization.

11261088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11261088 is about 3355.7544606243. The cubic root of 11261088 is about 224.1438276982.

Adding to 11261088 its reverse (88016211), we get a palindrome (99277299).

The spelling of 11261088 in words is "eleven million, two hundred sixty-one thousand, eighty-eight".