11309688 has 96 divisors (see below), whose sum is σ = 33873840. Its totient is φ = 3386880.

The previous prime is 11309687. The next prime is 11309689. The reversal of 11309688 is 88690311.

It is an interprime number because it is at equal distance from previous prime (11309687) and next prime (11309689).

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 (11309687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40108 + ... + 40388.

Almost surely, 2^11309688 is an apocalyptic number.

11309688 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 11309688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936920).

11309688 is an abundant number, since it is smaller than the sum of its proper divisors (22564152).

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

11309688 is a wasteful number, since it uses less digits than its factorization.

11309688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11309688 is about 3362.9879571595. The cubic root of 11309688 is about 224.4658142433.

Adding to 11309688 its reverse (88690311), we get a palindrome (99999999).

The spelling of 11309688 in words is "eleven million, three hundred nine thousand, six hundred eighty-eight".