27005440 has 160 divisors (see below), whose sum is σ = 81316224. Its totient is φ = 8355840.

The previous prime is 27005423. The next prime is 27005443. The reversal of 27005440 is 4450072.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (27005443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197052 + ... + 197188.

Almost surely, 2^27005440 is an apocalyptic number.

27005440 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 27005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40658112).

27005440 is an abundant number, since it is smaller than the sum of its proper divisors (54310784).

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

27005440 is a wasteful number, since it uses less digits than its factorization.

27005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 27005440 is about 5196.6758605863. The cubic root of 27005440 is about 300.0201467951.

The spelling of 27005440 in words is "twenty-seven million, five thousand, four hundred forty".