27268880 has 40 divisors (see below), whose sum is σ = 64882752. Its totient is φ = 10652544.

The previous prime is 27268877. The next prime is 27268907. The reversal of 27268880 is 8886272.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 7403.

Almost surely, 2^27268880 is an apocalyptic number.

27268880 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 27268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441376).

27268880 is an abundant number, since it is smaller than the sum of its proper divisors (37613872).

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

27268880 is a wasteful number, since it uses less digits than its factorization.

27268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 27268880 is about 5221.9613173596. The cubic root of 27268880 is about 300.9925642840.

The spelling of 27268880 in words is "twenty-seven million, two hundred sixty-eight thousand, eight hundred eighty".