11661132 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3216192.

The previous prime is 11661121. The next prime is 11661151. The reversal of 11661132 is 23116611.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 11661099 and 11661108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^11661132 is an apocalyptic number.

11661132 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 11661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11661132 is an abundant number, since it is smaller than the sum of its proper divisors (20514228).

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

11661132 is a wasteful number, since it uses less digits than its factorization.

11661132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4828 counting only the distinct ones).

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

The square root of 11661132 is about 3414.8399669677. The cubic root of 11661132 is about 226.7671997333.

Adding to 11661132 its reverse (23116611), we get a palindrome (34777743).

The spelling of 11661132 in words is "eleven million, six hundred sixty-one thousand, one hundred thirty-two".