27664434 has 96 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 7451136.

The previous prime is 27664433. The next prime is 27664453. The reversal of 27664434 is 43446672.

27664434 is a `hidden beast` number, since 2 + 7 + 6 + 644 + 3 + 4 = 666.

Its product of digits (96768) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244762 + ... + 244874.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

Almost surely, 2^27664434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27664434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

27664434 is an abundant number, since it is smaller than the sum of its proper divisors (44894286).

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

27664434 is a wasteful number, since it uses less digits than its factorization.

27664434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 27664434 is about 5259.6990408197. The cubic root of 27664434 is about 302.4409519789.

The spelling of 27664434 in words is "twenty-seven million, six hundred sixty-four thousand, four hundred thirty-four".