11261520 has 60 divisors (see below), whose sum is σ = 37822356. Its totient is φ = 3002880.

The previous prime is 11261519. The next prime is 11261527. The reversal of 11261520 is 2516211.

11261520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 2547216 = 2952^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11261493 and 11261502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7101 + ... + 8540.

Almost surely, 2^11261520 is an apocalyptic number.

11261520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261520 is an abundant number, since it is smaller than the sum of its proper divisors (26560836).

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

11261520 is a wasteful number, since it uses less digits than its factorization.

11261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15660 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11261520 is about 3355.8188270525. The cubic root of 11261520 is about 224.1466938776.

Adding to 11261520 its reverse (2516211), we get a palindrome (13777731).

It can be divided in two parts, 11261 and 520, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11261520 in words is "eleven million, two hundred sixty-one thousand, five hundred twenty".