27127920 has 160 divisors (see below), whose sum is σ = 91333440. Its totient is φ = 6635520.

The previous prime is 27127907. The next prime is 27127931. The reversal of 27127920 is 2972172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 248826 + ... + 248934.

It is an arithmetic number, because the mean of its divisors is an integer number (570834).

Almost surely, 2^27127920 is an apocalyptic number.

27127920 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 27127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666720).

27127920 is an abundant number, since it is smaller than the sum of its proper divisors (64205520).

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

27127920 is a wasteful number, since it uses less digits than its factorization.

27127920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 27127920 is about 5208.4469854267. The cubic root of 27127920 is about 300.4730315230.

The spelling of 27127920 in words is "twenty-seven million, one hundred twenty-seven thousand, nine hundred twenty".