27840960 has 168 divisors, whose sum is σ = 109520736. Its totient is φ = 6359040.

The previous prime is 27840929. The next prime is 27840973. The reversal of 27840960 is 6904872.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 19470 + ... + 20850.

Almost surely, 2^27840960 is an apocalyptic number.

27840960 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 27840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54760368).

27840960 is an abundant number, since it is smaller than the sum of its proper divisors (81679776).

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

27840960 is a wasteful number, since it uses less digits than its factorization.

27840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27840960 is about 5276.4533542902. The cubic root of 27840960 is about 303.0828776982.

The spelling of 27840960 in words is "twenty-seven million, eight hundred forty thousand, nine hundred sixty".