27867920 has 40 divisors (see below), whose sum is σ = 65453400. Its totient is φ = 11033600.

The previous prime is 27867907. The next prime is 27867923. The reversal of 27867920 is 2976872.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 26050816 = 1348^2 + 5104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (27867923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6356 + ... + 9804.

It is an arithmetic number, because the mean of its divisors is an integer number (1636335).

Almost surely, 2^27867920 is an apocalyptic number.

27867920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32726700).

27867920 is an abundant number, since it is smaller than the sum of its proper divisors (37585480).

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

27867920 is a wasteful number, since it uses less digits than its factorization.

27867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 27867920 is about 5279.0074824724. The cubic root of 27867920 is about 303.1806769872.

The spelling of 27867920 in words is "twenty-seven million, eight hundred sixty-seven thousand, nine hundred twenty".