27414160 has 80 divisors (see below), whose sum is σ = 68138496. Its totient is φ = 10233344.

The previous prime is 27414133. The next prime is 27414161. The reversal of 27414160 is 6141472.

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

It is not an unprimeable number, because it can be changed into a prime (27414161) 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, 86322 + ... + 86638.

Almost surely, 2^27414160 is an apocalyptic number.

27414160 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 27414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34069248).

27414160 is an abundant number, since it is smaller than the sum of its proper divisors (40724336).

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

27414160 is a wasteful number, since it uses less digits than its factorization.

27414160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 27414160 is about 5235.8533210929. The cubic root of 27414160 is about 301.5261489916.

The spelling of 27414160 in words is "twenty-seven million, four hundred fourteen thousand, one hundred sixty".