27040560 has 80 divisors (see below), whose sum is σ = 84327936. Its totient is φ = 7167744.

The previous prime is 27040537. The next prime is 27040567. The reversal of 27040560 is 6504072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27040560² = 1462383770227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27040560.

It is not an unprimeable number, because it can be changed into a prime (27040567) 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, 73497 + ... + 73863.

Almost surely, 2^27040560 is an apocalyptic number.

27040560 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 27040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42163968).

27040560 is an abundant number, since it is smaller than the sum of its proper divisors (57287376).

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

27040560 is a wasteful number, since it uses less digits than its factorization.

27040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27040560 is about 5200.0538458751. The cubic root of 27040560 is about 300.1501470626.

The spelling of 27040560 in words is "twenty-seven million, forty thousand, five hundred sixty".