11390688 has 36 divisors (see below), whose sum is σ = 32393088. Its totient is φ = 3796800.

The previous prime is 11390683. The next prime is 11390693. The reversal of 11390688 is 88609311.

It is an interprime number because it is at equal distance from previous prime (11390683) and next prime (11390693).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11390688² = 259495546226688, which contains 22 as substring.

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 (11390683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19488 + ... + 20063.

It is an arithmetic number, because the mean of its divisors is an integer number (899808).

Almost surely, 2^11390688 is an apocalyptic number.

11390688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11390688 is an abundant number, since it is smaller than the sum of its proper divisors (21002400).

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

11390688 is a wasteful number, since it uses less digits than its factorization.

11390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39567 (or 39556 counting only the distinct ones).

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

The square root of 11390688 is about 3375.0093333204. The cubic root of 11390688 is about 225.0004148141. Note that the first 3 decimals are identical.

Adding to 11390688 its reverse (88609311), we get a palindrome (99999999).

The spelling of 11390688 in words is "eleven million, three hundred ninety thousand, six hundred eighty-eight".