27864816 has 80 divisors (see below), whose sum is σ = 83042304. Its totient is φ = 7886592.

The previous prime is 27864797. The next prime is 27864821. The reversal of 27864816 is 61846872.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42346 + ... + 42998.

Almost surely, 2^27864816 is an apocalyptic number.

27864816 is the 3048-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41521152).

27864816 is an abundant number, since it is smaller than the sum of its proper divisors (55177488).

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

27864816 is a wasteful number, since it uses less digits than its factorization.

27864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 27864816 is about 5278.7134796274. The cubic root of 27864816 is about 303.1694202236.

It can be divided in two parts, 27864 and 816, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 27864816 in words is "twenty-seven million, eight hundred sixty-four thousand, eight hundred sixteen".