11886980 has 48 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 4045440.

The previous prime is 11886967. The next prime is 11886983. The reversal of 11886980 is 8968811.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11886983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27365 + ... + 27795.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 2^11886980 is an apocalyptic number.

11886980 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 11886980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

11886980 is an abundant number, since it is smaller than the sum of its proper divisors (16853116).

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

11886980 is a wasteful number, since it uses less digits than its factorization.

11886980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 11886980 is about 3447.7499909361. The cubic root of 11886980 is about 228.2218267891.

The spelling of 11886980 in words is "eleven million, eight hundred eighty-six thousand, nine hundred eighty".