27678816 has 72 divisors (see below), whose sum is σ = 85877064. Its totient is φ = 8386560.

The previous prime is 27678797. The next prime is 27678823. The reversal of 27678816 is 61887672.

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

It is a super-2 number, since 2×27678816² = 1532233710323712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201 + ... + 7536.

It is an arithmetic number, because the mean of its divisors is an integer number (1192737).

Almost surely, 2^27678816 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 27678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42938532).

27678816 is an abundant number, since it is smaller than the sum of its proper divisors (58198248).

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

27678816 is a wasteful number, since it uses less digits than its factorization.

27678816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8753 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 27678816 is about 5261.0660516667. The cubic root of 27678816 is about 302.4933532223.

Subtracting 27678816 from its reverse (61887672), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 27678816 in words is "twenty-seven million, six hundred seventy-eight thousand, eight hundred sixteen".