27696816 has 200 divisors, whose sum is σ = 95065344. Its totient is φ = 7620480.

The previous prime is 27696763. The next prime is 27696817. The reversal of 27696816 is 61869672.

It is a super-2 number, since 2×27696816² = 1534227233075712, which contains 22 as substring.

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

Its product of digits (217728) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (27696817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 390061 + ... + 390131.

Almost surely, 2^27696816 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 27696816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47532672).

27696816 is an abundant number, since it is smaller than the sum of its proper divisors (67368528).

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

27696816 is a wasteful number, since it uses less digits than its factorization.

27696816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 27696816 is about 5262.7764535462. The cubic root of 27696816 is about 302.5589111865.

The spelling of 27696816 in words is "twenty-seven million, six hundred ninety-six thousand, eight hundred sixteen".