27714960 has 400 divisors, whose sum is σ = 120992256. Its totient is φ = 5723136.

The previous prime is 27714949. The next prime is 27714971. The reversal of 27714960 is 6941772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27714949) and next prime (27714971).

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 79 ways as a sum of consecutive naturals, for example, 589657 + ... + 589703.

Almost surely, 2^27714960 is an apocalyptic number.

27714960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5264×5265.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496128).

27714960 is an abundant number, since it is smaller than the sum of its proper divisors (93277296).

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

27714960 is a wasteful number, since it uses less digits than its factorization.

27714960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27714960 is about 5264.4999762561. The cubic root of 27714960 is about 302.6249648752.

The spelling of 27714960 in words is "twenty-seven million, seven hundred fourteen thousand, nine hundred sixty".