27360768 has 80 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 8902656.

The previous prime is 27360743. The next prime is 27360787. The reversal of 27360768 is 86706372.

It is a super-2 number, since 2×27360768² = 1497223251099648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72003 + ... + 72381.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^27360768 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 27360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

27360768 is an abundant number, since it is smaller than the sum of its proper divisors (47277312).

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

27360768 is an equidigital number, since it uses as much as digits as its factorization.

27360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 27360768 is about 5230.7521447685. The cubic root of 27360768 is about 301.3302703285.

The spelling of 27360768 in words is "twenty-seven million, three hundred sixty thousand, seven hundred sixty-eight".