27897760 has 96 divisors (see below), whose sum is σ = 73047744. Its totient is φ = 10067200.

The previous prime is 27897733. The next prime is 27897763. The reversal of 27897760 is 6779872.

It is a self number, because there is not a number n which added to its sum of digits gives 27897760.

It is not an unprimeable number, because it can be changed into a prime (27897763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212895 + ... + 213025.

It is an arithmetic number, because the mean of its divisors is an integer number (760914).

Almost surely, 2^27897760 is an apocalyptic number.

27897760 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 27897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36523872).

27897760 is an abundant number, since it is smaller than the sum of its proper divisors (45149984).

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

27897760 is a wasteful number, since it uses less digits than its factorization.

27897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 27897760 is about 5281.8330151568. The cubic root of 27897760 is about 303.2888501636.

The spelling of 27897760 in words is "twenty-seven million, eight hundred ninety-seven thousand, seven hundred sixty".