27786864 has 40 divisors (see below), whose sum is σ = 82038400. Its totient is φ = 7939008.

The previous prime is 27786859. The next prime is 27786887. The reversal of 27786864 is 46868772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 41014 + ... + 41685.

It is an arithmetic number, because the mean of its divisors is an integer number (2050960).

Almost surely, 2^27786864 is an apocalyptic number.

27786864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27786864 is an abundant number, since it is smaller than the sum of its proper divisors (54251536).

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

27786864 is a wasteful number, since it uses less digits than its factorization.

27786864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82717 (or 82711 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 27786864 is about 5271.3246911948. The cubic root of 27786864 is about 302.8864500619.

The spelling of 27786864 in words is "twenty-seven million, seven hundred eighty-six thousand, eight hundred sixty-four".