11559540 has 96 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 2903040.

The previous prime is 11559539. The next prime is 11559553. The reversal of 11559540 is 4595511.

11559540 = T₄₁ + T₄₂ + ... + T₄₁₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11559498 and 11559507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90957 + ... + 91083.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 2^11559540 is an apocalyptic number.

11559540 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 11559540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

11559540 is an abundant number, since it is smaller than the sum of its proper divisors (22760844).

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

11559540 is a wasteful number, since it uses less digits than its factorization.

11559540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 11559540 is about 3399.9323522682. The cubic root of 11559540 is about 226.1067446770.

The spelling of 11559540 in words is "eleven million, five hundred fifty-nine thousand, five hundred forty".