11632180 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 3777408.

The previous prime is 11632157. The next prime is 11632213. The reversal of 11632180 is 8123611.

It is a super-2 number, since 2×11632180² = 270615223104800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 4846.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^11632180 is an apocalyptic number.

11632180 is a gapful number since it is divisible by the number (10) 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 11632180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

11632180 is an abundant number, since it is smaller than the sum of its proper divisors (17761100).

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

11632180 is a wasteful number, since it uses less digits than its factorization.

11632180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11632180 is about 3410.5981880016. The cubic root of 11632180 is about 226.5793733450.

Adding to 11632180 its reverse (8123611), we get a palindrome (19755791).

The spelling of 11632180 in words is "eleven million, six hundred thirty-two thousand, one hundred eighty".