27391920 has 80 divisors (see below), whose sum is σ = 89399040. Its totient is φ = 6918912.

The previous prime is 27391849. The next prime is 27391933. The reversal of 27391920 is 2919372.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 7563.

It is an arithmetic number, because the mean of its divisors is an integer number (1117488).

Almost surely, 2^27391920 is an apocalyptic number.

27391920 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 27391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699520).

27391920 is an abundant number, since it is smaller than the sum of its proper divisors (62007120).

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

27391920 is a wasteful number, since it uses less digits than its factorization.

27391920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 27391920 is about 5233.7290720862. The cubic root of 27391920 is about 301.4445882727. Note that the first 3 decimals are identical.

The spelling of 27391920 in words is "twenty-seven million, three hundred ninety-one thousand, nine hundred twenty".