27040800 has 144 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 6819840.

The previous prime is 27040799. The next prime is 27040813. The reversal of 27040800 is 804072.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45304 + ... + 45896.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^27040800 is an apocalyptic number.

27040800 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 27040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

27040800 is an abundant number, since it is smaller than the sum of its proper divisors (65765760).

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

27040800 is a wasteful number, since it uses less digits than its factorization.

27040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27040800 is about 5200.0769225080. The cubic root of 27040800 is about 300.1510350597.

Adding to 27040800 its reverse (804072), we get a palindrome (27844872).

The spelling of 27040800 in words is "twenty-seven million, forty thousand, eight hundred".