16611966 has 96 divisors (see below), whose sum is σ = 45077760. Its totient is φ = 4478976.

The previous prime is 16611961. The next prime is 16611971. The reversal of 16611966 is 66911661.

It is an interprime number because it is at equal distance from previous prime (16611961) and next prime (16611971).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16611966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16611961) 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, 64510 + ... + 64766.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 2^16611966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16611966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880).

16611966 is an abundant number, since it is smaller than the sum of its proper divisors (28465794).

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

16611966 is a wasteful number, since it uses less digits than its factorization.

16611966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 16611966 is about 4075.7779625490. Note that the first 3 decimals coincide. The cubic root of 16611966 is about 255.1567202707.

The spelling of 16611966 in words is "sixteen million, six hundred eleven thousand, nine hundred sixty-six".