27648864 has 60 divisors (see below), whose sum is σ = 81322164. Its totient is φ = 9215424.

The previous prime is 27648847. The next prime is 27648893. The reversal of 27648864 is 46884672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2742 + ... + 7925.

Almost surely, 2^27648864 is an apocalyptic number.

27648864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27648864 is an abundant number, since it is smaller than the sum of its proper divisors (53673300).

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

27648864 is a wasteful number, since it uses less digits than its factorization.

27648864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10672 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 27648864 is about 5258.2187097914. The cubic root of 27648864 is about 302.3842017446.

It can be divided in two parts, 27648 and 864, that multiplied together give a cube (23887872 = 288³).

The spelling of 27648864 in words is "twenty-seven million, six hundred forty-eight thousand, eight hundred sixty-four".