11681190 has 48 divisors (see below), whose sum is σ = 30680208. Its totient is φ = 3083328.

The previous prime is 11681183. The next prime is 11681191. The reversal of 11681190 is 9118611.

It is a super-2 number, since 2×11681190² = 272900399632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9024 + ... + 10236.

It is an arithmetic number, because the mean of its divisors is an integer number (639171).

Almost surely, 2^11681190 is an apocalyptic number.

11681190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11681190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340104).

11681190 is an abundant number, since it is smaller than the sum of its proper divisors (18999018).

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

11681190 is a wasteful number, since it uses less digits than its factorization.

11681190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11681190 is about 3417.7755923992. The cubic root of 11681190 is about 226.8971439807.

The spelling of 11681190 in words is "eleven million, six hundred eighty-one thousand, one hundred ninety".