27718960 has 40 divisors (see below), whose sum is σ = 66531456. Its totient is φ = 10728960.

The previous prime is 27718939. The next prime is 27718969. The reversal of 27718960 is 6981772.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27718969) 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 7 ways as a sum of consecutive naturals, for example, 3109 + ... + 8068.

Almost surely, 2^27718960 is an apocalyptic number.

27718960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27718960 is an abundant number, since it is smaller than the sum of its proper divisors (38812496).

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

27718960 is a wasteful number, since it uses less digits than its factorization.

27718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221 (or 11215 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 27718960 is about 5264.8798656759. The cubic root of 27718960 is about 302.6395230973.

The spelling of 27718960 in words is "twenty-seven million, seven hundred eighteen thousand, nine hundred sixty".