11981960 has 32 divisors (see below), whose sum is σ = 27345600. Its totient is φ = 4724160.

The previous prime is 11981941. The next prime is 11981971. The reversal of 11981960 is 6918911.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11981960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (854550).

Almost surely, 2^11981960 is an apocalyptic number.

11981960 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 11981960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672800).

11981960 is an abundant number, since it is smaller than the sum of its proper divisors (15363640).

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

11981960 is a wasteful number, since it uses less digits than its factorization.

11981960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 35.

The square root of 11981960 is about 3461.4967860739. The cubic root of 11981960 is about 228.8280651670.

The spelling of 11981960 in words is "eleven million, nine hundred eighty-one thousand, nine hundred sixty".