27314880 has 112 divisors (see below), whose sum is σ = 89184480. Its totient is φ = 7077888.

The previous prime is 27314873. The next prime is 27314887. The reversal of 27314880 is 8841372.

It is an interprime number because it is at equal distance from previous prime (27314873) and next prime (27314887).

It is a super-2 number, since 2×27314880² = 1492205338828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27314887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35136 + ... + 35904.

It is an arithmetic number, because the mean of its divisors is an integer number (796290).

Almost surely, 2^27314880 is an apocalyptic number.

27314880 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 27314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44592240).

27314880 is an abundant number, since it is smaller than the sum of its proper divisors (61869600).

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

27314880 is a wasteful number, since it uses less digits than its factorization.

27314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 27314880 is about 5226.3639368111. The cubic root of 27314880 is about 301.1617177880.

The spelling of 27314880 in words is "twenty-seven million, three hundred fourteen thousand, eight hundred eighty".