11682180 has 36 divisors (see below), whose sum is σ = 35436492. Its totient is φ = 3115200.

The previous prime is 11682173. The next prime is 11682191. The reversal of 11682180 is 8128611.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 4359744 = 2706^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32271 + ... + 32630.

It is an arithmetic number, because the mean of its divisors is an integer number (984347).

Almost surely, 2^11682180 is an apocalyptic number.

11682180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682180 is an abundant number, since it is smaller than the sum of its proper divisors (23754312).

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

11682180 is a wasteful number, since it uses less digits than its factorization.

11682180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64916 (or 64911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11682180 is about 3417.9204203726. The cubic root of 11682180 is about 226.9035537679.

The spelling of 11682180 in words is "eleven million, six hundred eighty-two thousand, one hundred eighty".