16638696 has 72 divisors (see below), whose sum is σ = 46941570. Its totient is φ = 5528736.

The previous prime is 16638691. The next prime is 16638707. The reversal of 16638696 is 69683661.

16638696 is a `hidden beast` number, since 1 + 6 + 638 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16402500 + 236196 = 4050^2 + 486^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (16638691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52330 + ... + 52646.

Almost surely, 2^16638696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16638696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470785).

16638696 is an abundant number, since it is smaller than the sum of its proper divisors (30302874).

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

16638696 is an frugal number, since it uses more digits than its factorization.

16638696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 16638696 is about 4079.0557730926. The cubic root of 16638696 is about 255.2935028815.

The spelling of 16638696 in words is "sixteen million, six hundred thirty-eight thousand, six hundred ninety-six".