11559240 has 256 divisors, whose sum is σ = 48384000. Its totient is φ = 2384640.

The previous prime is 11559209. The next prime is 11559241. The reversal of 11559240 is 4295511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11559241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83091 + ... + 83229.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^11559240 is an apocalyptic number.

11559240 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 11559240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

11559240 is an abundant number, since it is smaller than the sum of its proper divisors (36824760).

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

11559240 is a wasteful number, since it uses less digits than its factorization.

11559240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 11559240 is about 3399.8882334571. Note that the first 3 decimals coincide. The cubic root of 11559240 is about 226.1047886415.

The spelling of 11559240 in words is "eleven million, five hundred fifty-nine thousand, two hundred forty".