27814320 has 160 divisors (see below), whose sum is σ = 97612800. Its totient is φ = 7278336.

The previous prime is 27814301. The next prime is 27814333. The reversal of 27814320 is 2341872.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 170559 + ... + 170721.

It is an arithmetic number, because the mean of its divisors is an integer number (610080).

Almost surely, 2^27814320 is an apocalyptic number.

27814320 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 27814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806400).

27814320 is an abundant number, since it is smaller than the sum of its proper divisors (69798480).

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

27814320 is a wasteful number, since it uses less digits than its factorization.

27814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27814320 is about 5273.9283271580. The cubic root of 27814320 is about 302.9861771951.

The spelling of 27814320 in words is "twenty-seven million, eight hundred fourteen thousand, three hundred twenty".