27971160 has 192 divisors, whose sum is σ = 100465920. Its totient is φ = 6209280.

The previous prime is 27971147. The next prime is 27971179. The reversal of 27971160 is 6117972.

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 47 ways as a sum of consecutive naturals, for example, 393925 + ... + 393995.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^27971160 is an apocalyptic number.

27971160 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 27971160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

27971160 is an abundant number, since it is smaller than the sum of its proper divisors (72494760).

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

27971160 is a wasteful number, since it uses less digits than its factorization.

27971160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 27971160 is about 5288.7767961978. The cubic root of 27971160 is about 303.5546051511.

The spelling of 27971160 in words is "twenty-seven million, nine hundred seventy-one thousand, one hundred sixty".