11611632 has 40 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3787456.

The previous prime is 11611627. The next prime is 11611637. The reversal of 11611632 is 23611611.

11611632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11611627) and next prime (11611637).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11611599 and 11611608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611637) 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, 318 + ... + 4829.

Almost surely, 2^11611632 is an apocalyptic number.

11611632 is a gapful number since it is divisible by the number (12) 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 11611632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

11611632 is an abundant number, since it is smaller than the sum of its proper divisors (19029264).

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

11611632 is a wasteful number, since it uses less digits than its factorization.

11611632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11611632 is about 3407.5844817113. The cubic root of 11611632 is about 226.4458788184.

Subtracting from 11611632 its sum of digits (21), we obtain a palindrome (11611611).

The spelling of 11611632 in words is "eleven million, six hundred eleven thousand, six hundred thirty-two".