11561536 has 56 divisors (see below), whose sum is σ = 26554176. Its totient is φ = 4892160.

The previous prime is 11561531. The next prime is 11561591. The reversal of 11561536 is 63516511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×11561536² = 267338229358592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11561531) 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, 58590 + ... + 58786.

Almost surely, 2^11561536 is an apocalyptic number.

11561536 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 11561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277088).

11561536 is an abundant number, since it is smaller than the sum of its proper divisors (14992640).

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

11561536 is a wasteful number, since it uses less digits than its factorization.

11561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 11561536 is about 3400.2258748501. The cubic root of 11561536 is about 226.1197579713.

The spelling of 11561536 in words is "eleven million, five hundred sixty-one thousand, five hundred thirty-six".