27866880 has 216 divisors, whose sum is σ = 100442160. Its totient is φ = 7127040.

The previous prime is 27866851. The next prime is 27866897. The reversal of 27866880 is 8866872.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472291 + ... + 472349.

It is an arithmetic number, because the mean of its divisors is an integer number (465010).

Almost surely, 2^27866880 is an apocalyptic number.

27866880 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 27866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221080).

27866880 is an abundant number, since it is smaller than the sum of its proper divisors (72575280).

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

27866880 is a wasteful number, since it uses less digits than its factorization.

27866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 27866880 is about 5278.9089781886. The cubic root of 27866880 is about 303.1769054842.

The spelling of 27866880 in words is "twenty-seven million, eight hundred sixty-six thousand, eight hundred eighty".