11766016 has 72 divisors (see below), whose sum is σ = 25754400. Its totient is φ = 5345280.

The previous prime is 11765987. The next prime is 11766031. The reversal of 11766016 is 61066711.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199395 + ... + 199453.

It is an arithmetic number, because the mean of its divisors is an integer number (357700).

Almost surely, 2^11766016 is an apocalyptic number.

11766016 is a gapful number since it is divisible by the number (16) 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 11766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877200).

11766016 is an abundant number, since it is smaller than the sum of its proper divisors (13988384).

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

11766016 is an equidigital number, since it uses as much as digits as its factorization.

11766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 11766016 is about 3430.1626783580. The cubic root of 11766016 is about 227.4450440859.

The spelling of 11766016 in words is "eleven million, seven hundred sixty-six thousand, sixteen".