11812680 has 192 divisors, whose sum is σ = 44366400. Its totient is φ = 2695680.

The previous prime is 11812679. The next prime is 11812687. The reversal of 11812680 is 8621811.

11812680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11812687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75162 + ... + 75318.

It is an arithmetic number, because the mean of its divisors is an integer number (231075).

Almost surely, 2^11812680 is an apocalyptic number.

11812680 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 11812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183200).

11812680 is an abundant number, since it is smaller than the sum of its proper divisors (32553720).

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

11812680 is a wasteful number, since it uses less digits than its factorization.

11812680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11812680 is about 3436.9579572640. The cubic root of 11812680 is about 227.7453296806.

The spelling of 11812680 in words is "eleven million, eight hundred twelve thousand, six hundred eighty".