11966980 has 48 divisors (see below), whose sum is σ = 27092016. Its totient is φ = 4423680.

The previous prime is 11966953. The next prime is 11966993. The reversal of 11966980 is 8966911.

It can be written as a sum of positive squares in 8 ways, for example, as 188356 + 11778624 = 434^2 + 3432^2 .

It is a super-2 number, since 2×11966980² = 286417220640800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20452 + ... + 21028.

It is an arithmetic number, because the mean of its divisors is an integer number (564417).

Almost surely, 2^11966980 is an apocalyptic number.

11966980 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 11966980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546008).

11966980 is an abundant number, since it is smaller than the sum of its proper divisors (15125036).

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

11966980 is a wasteful number, since it uses less digits than its factorization.

11966980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 11966980 is about 3459.3323055179. The cubic root of 11966980 is about 228.7326641386.

The spelling of 11966980 in words is "eleven million, nine hundred sixty-six thousand, nine hundred eighty".