11535040 has 112 divisors (see below), whose sum is σ = 31272480. Its totient is φ = 4014080.

The previous prime is 11535037. The next prime is 11535047. The reversal of 11535040 is 4053511.

It is a junction number, because it is equal to n+sod(n) for n = 11534999 and 11535017.

It is not an unprimeable number, because it can be changed into a prime (11535047) 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, 102024 + ... + 102136.

Almost surely, 2^11535040 is an apocalyptic number.

11535040 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 11535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636240).

11535040 is an abundant number, since it is smaller than the sum of its proper divisors (19737440).

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

11535040 is a wasteful number, since it uses less digits than its factorization.

11535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 11535040 is about 3396.3274282672. The cubic root of 11535040 is about 225.9468901751.

Adding to 11535040 its reverse (4053511), we get a palindrome (15588551).

The spelling of 11535040 in words is "eleven million, five hundred thirty-five thousand, forty".