27690768 has 80 divisors (see below), whose sum is σ = 90847360. Its totient is φ = 7910784.

The previous prime is 27690757. The next prime is 27690769. The reversal of 27690768 is 86709672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27690769) 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, 1555 + ... + 7602.

It is an arithmetic number, because the mean of its divisors is an integer number (1135592).

Almost surely, 2^27690768 is an apocalyptic number.

27690768 is a gapful number since it is divisible by the number (28) 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 27690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45423680).

27690768 is an abundant number, since it is smaller than the sum of its proper divisors (63156592).

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

27690768 is a wasteful number, since it uses less digits than its factorization.

27690768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 27690768 is about 5262.2018205310. The cubic root of 27690768 is about 302.5368868799.

The spelling of 27690768 in words is "twenty-seven million, six hundred ninety thousand, seven hundred sixty-eight".