27868680 has 96 divisors (see below), whose sum is σ = 103521600. Its totient is φ = 6369408.

The previous prime is 27868679. The next prime is 27868703. The reversal of 27868680 is 8686872.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010 + ... + 8049.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 2^27868680 is an apocalyptic number.

27868680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27868680 is an abundant number, since it is smaller than the sum of its proper divisors (75652920).

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

27868680 is a wasteful number, since it uses less digits than its factorization.

27868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11076 counting only the distinct ones).

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

The square root of 27868680 is about 5279.0794652098. The cubic root of 27868680 is about 303.1834330261.

The spelling of 27868680 in words is "twenty-seven million, eight hundred sixty-eight thousand, six hundred eighty".