11288340 has 216 divisors, whose sum is σ = 42911232. Its totient is φ = 2350080.

The previous prime is 11288339. The next prime is 11288341. The reversal of 11288340 is 4388211.

11288340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11288339) and next prime (11288341).

It is a super-3 number, since 3×11288340³ (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 (11288341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364125 + ... + 364155.

Almost surely, 2^11288340 is an apocalyptic number.

11288340 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 11288340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455616).

11288340 is an abundant number, since it is smaller than the sum of its proper divisors (31622892).

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

11288340 is a wasteful number, since it uses less digits than its factorization.

11288340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11288340 is about 3359.8124947681. The cubic root of 11288340 is about 224.3244925020.

It can be divided in two parts, 11288 and 340, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11288340 in words is "eleven million, two hundred eighty-eight thousand, three hundred forty".