11649132 has 72 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 3373920.

The previous prime is 11649119. The next prime is 11649151. The reversal of 11649132 is 23194611.

11649132 is a `hidden beast` number, since 1 + 1 + 649 + 13 + 2 = 666.

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 = 11649096 and 11649105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8469 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (465920).

Almost surely, 2^11649132 is an apocalyptic number.

11649132 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 11649132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).

11649132 is an abundant number, since it is smaller than the sum of its proper divisors (21897108).

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

11649132 is a wasteful number, since it uses less digits than its factorization.

11649132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1318 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11649132 is about 3413.0824777611. The cubic root of 11649132 is about 226.6893873803.

It can be divided in two parts, 11649 and 132, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11649132 in words is "eleven million, six hundred forty-nine thousand, one hundred thirty-two".