13329666 has 96 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 3556224.

The previous prime is 13329661. The next prime is 13329671. The reversal of 13329666 is 66692331.

It is an interprime number because it is at equal distance from previous prime (13329661) and next prime (13329671).

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 13329666.

It is not an unprimeable number, because it can be changed into a prime (13329661) 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, 104895 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 2^13329666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13329666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

13329666 is an abundant number, since it is smaller than the sum of its proper divisors (22612734).

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

13329666 is a wasteful number, since it uses less digits than its factorization.

13329666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13329666 is about 3650.9815118677. The cubic root of 13329666 is about 237.1044777835.

The spelling of 13329666 in words is "thirteen million, three hundred twenty-nine thousand, six hundred sixty-six".