27268668 has 72 divisors (see below), whose sum is σ = 79279200. Its totient is φ = 7741440.

The previous prime is 27268651. The next prime is 27268673. The reversal of 27268668 is 86686272.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60508 + ... + 60956.

It is an arithmetic number, because the mean of its divisors is an integer number (1101100).

Almost surely, 2^27268668 is an apocalyptic number.

27268668 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 27268668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39639600).

27268668 is an abundant number, since it is smaller than the sum of its proper divisors (52010532).

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

27268668 is a wasteful number, since it uses less digits than its factorization.

27268668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 702 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 27268668 is about 5221.9410184337. The cubic root of 27268668 is about 300.9917842667.

The spelling of 27268668 in words is "twenty-seven million, two hundred sixty-eight thousand, six hundred sixty-eight".