27864936 has 96 divisors (see below), whose sum is σ = 83229120. Its totient is φ = 8352000.

The previous prime is 27864929. The next prime is 27864971. The reversal of 27864936 is 63946872.

It is a junction number, because it is equal to n+sod(n) for n = 27864891 and 27864900.

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 23 ways as a sum of consecutive naturals, for example, 119476 + ... + 119708.

It is an arithmetic number, because the mean of its divisors is an integer number (866970).

It is a vampire number, since it can be written as 3624 ⋅ 7689 (with its own digits).

Almost surely, 2^27864936 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 27864936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41614560).

27864936 is an abundant number, since it is smaller than the sum of its proper divisors (55364184).

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

27864936 is a wasteful number, since it uses less digits than its factorization.

27864936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27864936 is about 5278.7248460211. The cubic root of 27864936 is about 303.1698554233.

The spelling of 27864936 in words is "twenty-seven million, eight hundred sixty-four thousand, nine hundred thirty-six".