27271680 has 160 divisors (see below), whose sum is σ = 90154944. Its totient is φ = 7028736.

The previous prime is 27271679. The next prime is 27271681. The reversal of 27271680 is 8617272.

It is an interprime number because it is at equal distance from previous prime (27271679) and next prime (27271681).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (27271681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407007 + ... + 407073.

Almost surely, 2^27271680 is an apocalyptic number.

27271680 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 27271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077472).

27271680 is an abundant number, since it is smaller than the sum of its proper divisors (62883264).

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

27271680 is an equidigital number, since it uses as much as digits as its factorization.

27271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 27271680 is about 5222.2294089785. The cubic root of 27271680 is about 301.0028660191.

The spelling of 27271680 in words is "twenty-seven million, two hundred seventy-one thousand, six hundred eighty".