27726864 has 80 divisors (see below), whose sum is σ = 82762560. Its totient is φ = 7905280.

The previous prime is 27726859. The next prime is 27726893. The reversal of 27726864 is 46862772.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7432 + ... + 10520.

It is an arithmetic number, because the mean of its divisors is an integer number (1034532).

Almost surely, 2^27726864 is an apocalyptic number.

27726864 is a gapful number since it is divisible by the number (24) 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 27726864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41381280).

27726864 is an abundant number, since it is smaller than the sum of its proper divisors (55035696).

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

27726864 is a wasteful number, since it uses less digits than its factorization.

27726864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 27726864 is about 5265.6304465847. The cubic root of 27726864 is about 302.6682860266.

The spelling of 27726864 in words is "twenty-seven million, seven hundred twenty-six thousand, eight hundred sixty-four".