27600768 has 192 divisors, whose sum is σ = 90963600. Its totient is φ = 7962624.

The previous prime is 27600761. The next prime is 27600773. The reversal of 27600768 is 86700672.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27600761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284496 + ... + 284592.

Almost surely, 2^27600768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45481800).

27600768 is an abundant number, since it is smaller than the sum of its proper divisors (63362832).

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

27600768 is a wasteful number, since it uses less digits than its factorization.

27600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 27600768 is about 5253.6433072678. The cubic root of 27600768 is about 302.2087646193.

The spelling of 27600768 in words is "twenty-seven million, six hundred thousand, seven hundred sixty-eight".