11352688 has 40 divisors (see below), whose sum is σ = 23324400. Its totient is φ = 5343744.

The previous prime is 11352683. The next prime is 11352701. The reversal of 11352688 is 88625311.

11352688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11352688³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19668 + ... + 20236.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 2^11352688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662200).

11352688 is an abundant number, since it is smaller than the sum of its proper divisors (11971712).

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

11352688 is a wasteful number, since it uses less digits than its factorization.

11352688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 11352688 is about 3369.3750162308. The cubic root of 11352688 is about 224.7499312258.

Adding to 11352688 its reverse (88625311), we get a palindrome (99977999).

The spelling of 11352688 in words is "eleven million, three hundred fifty-two thousand, six hundred eighty-eight".