27894400 has 96 divisors (see below), whose sum is σ = 72093600. Its totient is φ = 10644480.

The previous prime is 27894379. The next prime is 27894421. The reversal of 27894400 is 449872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27894379) and next prime (27894421).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73411 + ... + 73789.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^27894400 is an apocalyptic number.

27894400 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 27894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046800).

27894400 is an abundant number, since it is smaller than the sum of its proper divisors (44199200).

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

27894400 is a wasteful number, since it uses less digits than its factorization.

27894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 27894400 is about 5281.5149341832. The cubic root of 27894400 is about 303.2766736609.

The spelling of 27894400 in words is "twenty-seven million, eight hundred ninety-four thousand, four hundred".