27276768 has 72 divisors (see below), whose sum is σ = 79076088. Its totient is φ = 8915712.

The previous prime is 27276763. The next prime is 27276773. The reversal of 27276768 is 86767272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27276763) and next prime (27276773).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27276763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14371 + ... + 16157.

It is an arithmetic number, because the mean of its divisors is an integer number (1098279).

Almost surely, 2^27276768 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 27276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39538044).

27276768 is an abundant number, since it is smaller than the sum of its proper divisors (51799320).

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

27276768 is a wasteful number, since it uses less digits than its factorization.

27276768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 27276768 is about 5222.7165345249. The cubic root of 27276768 is about 301.0215839388.

The spelling of 27276768 in words is "twenty-seven million, two hundred seventy-six thousand, seven hundred sixty-eight".