27315648 has 84 divisors (see below), whose sum is σ = 80040480. Its totient is φ = 8902656.

The previous prime is 27315641. The next prime is 27315661. The reversal of 27315648 is 84651372.

27315648 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 5 + 648 = 666.

It is a super-3 number, since 3×27315648³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27315641) 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, 26568 + ... + 27576.

Almost surely, 2^27315648 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 27315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40020240).

27315648 is an abundant number, since it is smaller than the sum of its proper divisors (52724832).

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

27315648 is a wasteful number, since it uses less digits than its factorization.

27315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 27315648 is about 5226.4374099381. The cubic root of 27315648 is about 301.1645403037.

The spelling of 27315648 in words is "twenty-seven million, three hundred fifteen thousand, six hundred forty-eight".