27895920 has 80 divisors (see below), whose sum is σ = 93139872. Its totient is φ = 6865920.

The previous prime is 27895909. The next prime is 27895937. The reversal of 27895920 is 2959872.

It is a tau number, because it is divible by the number of its divisors (80).

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 congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 7590.

Almost surely, 2^27895920 is an apocalyptic number.

27895920 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 27895920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569936).

27895920 is an abundant number, since it is smaller than the sum of its proper divisors (65243952).

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

27895920 is a wasteful number, since it uses less digits than its factorization.

27895920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 27895920 is about 5281.6588303297. The cubic root of 27895920 is about 303.2821821999.

The spelling of 27895920 in words is "twenty-seven million, eight hundred ninety-five thousand, nine hundred twenty".