11535520 has 48 divisors (see below), whose sum is σ = 28862568. Its totient is φ = 4341760.

The previous prime is 11535499. The next prime is 11535523. The reversal of 11535520 is 2553511.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 2704 = 3396^2 + 52^2 .

It is a super-3 number, since 3×11535520³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11535491 and 11535500.

It is not an unprimeable number, because it can be changed into a prime (11535523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 4840.

Almost surely, 2^11535520 is an apocalyptic number.

11535520 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 11535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431284).

11535520 is an abundant number, since it is smaller than the sum of its proper divisors (17327048).

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

11535520 is a wasteful number, since it uses less digits than its factorization.

11535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 11535520 is about 3396.3980920970. The cubic root of 11535520 is about 225.9500241912.

Subtracting from 11535520 its reverse (2553511), we obtain a square (8982009 = 2997²).

The spelling of 11535520 in words is "eleven million, five hundred thirty-five thousand, five hundred twenty".