11871780 has 96 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2924544.

The previous prime is 11871773. The next prime is 11871793. The reversal of 11871780 is 8717811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105004 + ... + 105116.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^11871780 is an apocalyptic number.

11871780 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 11871780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

11871780 is an abundant number, since it is smaller than the sum of its proper divisors (23980764).

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

11871780 is a wasteful number, since it uses less digits than its factorization.

11871780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The square root of 11871780 is about 3445.5449496415. The cubic root of 11871780 is about 228.1245087873.

Adding to 11871780 its product of nonzero digits (3136), we get a square (11874916 = 3446²).

It can be divided in two parts, 1 and 1871780, that added together give a palindrome (1871781).

The spelling of 11871780 in words is "eleven million, eight hundred seventy-one thousand, seven hundred eighty".