11461536 has 72 divisors (see below), whose sum is σ = 34525764. Its totient is φ = 3594240.

The previous prime is 11461507. The next prime is 11461543. The reversal of 11461536 is 63516411.

11461536 is a `hidden beast` number, since 1 + 14 + 615 + 36 = 666.

11461536 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 10890000 + 571536 = 3300^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3726 + ... + 6066.

Almost surely, 2^11461536 is an apocalyptic number.

11461536 is a gapful number since it is divisible by the number (16) 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 11461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262882).

11461536 is an abundant number, since it is smaller than the sum of its proper divisors (23064228).

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

11461536 is a wasteful number, since it uses less digits than its factorization.

11461536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2363 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11461536 is about 3385.4890340983. The cubic root of 11461536 is about 225.4659381560.

Adding to 11461536 its reverse (63516411), we get a palindrome (74977947).

The spelling of 11461536 in words is "eleven million, four hundred sixty-one thousand, five hundred thirty-six".