27971120 has 80 divisors (see below), whose sum is σ = 69825888. Its totient is φ = 10383360.

The previous prime is 27971117. The next prime is 27971131. The reversal of 27971120 is 2117972.

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

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, 178082 + ... + 178238.

Almost surely, 2^27971120 is an apocalyptic number.

27971120 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 27971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34912944).

27971120 is an abundant number, since it is smaller than the sum of its proper divisors (41854768).

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

27971120 is a wasteful number, since it uses less digits than its factorization.

27971120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 27971120 is about 5288.7730146037. The cubic root of 27971120 is about 303.5544604521.

The spelling of 27971120 in words is "twenty-seven million, nine hundred seventy-one thousand, one hundred twenty".