27271920 has 80 divisors (see below), whose sum is σ = 91056672. Its totient is φ = 6712320.

The previous prime is 27271913. The next prime is 27271921. The reversal of 27271920 is 2917272.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27271921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 7490.

Almost surely, 2^27271920 is an apocalyptic number.

27271920 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 27271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528336).

27271920 is an abundant number, since it is smaller than the sum of its proper divisors (63784752).

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

27271920 is a wasteful number, since it uses less digits than its factorization.

27271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 8764 counting only the distinct ones).

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

The square root of 27271920 is about 5222.2523876197. The cubic root of 27271920 is about 301.0037489921.

The spelling of 27271920 in words is "twenty-seven million, two hundred seventy-one thousand, nine hundred twenty".