27340560 has 240 divisors, whose sum is σ = 103993344. Its totient is φ = 6386688.

The previous prime is 27340559. The next prime is 27340597. The reversal of 27340560 is 6504372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×27340560² = 1495012442227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215217 + ... + 215343.

Almost surely, 2^27340560 is an apocalyptic number.

27340560 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 27340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

27340560 is an abundant number, since it is smaller than the sum of its proper divisors (76652784).

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

27340560 is a wasteful number, since it uses less digits than its factorization.

27340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27340560 is about 5228.8201346002. The cubic root of 27340560 is about 301.2560669795.

The spelling of 27340560 in words is "twenty-seven million, three hundred forty thousand, five hundred sixty".