11242680 has 64 divisors (see below), whose sum is σ = 35510400. Its totient is φ = 2839680.

The previous prime is 11242663. The next prime is 11242681. The reversal of 11242680 is 8624211.

11242680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11242680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (554850).

Almost surely, 2^11242680 is an apocalyptic number.

11242680 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 11242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755200).

11242680 is an abundant number, since it is smaller than the sum of its proper divisors (24267720).

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

11242680 is a wasteful number, since it uses less digits than its factorization.

11242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11242680 is about 3353.0105875168. The cubic root of 11242680 is about 224.0216284388.

Adding to 11242680 its reverse (8624211), we get a palindrome (19866891).

The spelling of 11242680 in words is "eleven million, two hundred forty-two thousand, six hundred eighty".