27564992 has 56 divisors (see below), whose sum is σ = 67336416. Its totient is φ = 10902528.

The previous prime is 27564949. The next prime is 27565001. The reversal of 27564992 is 29946572.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3458 + ... + 8190.

It is an arithmetic number, because the mean of its divisors is an integer number (1202436).

Almost surely, 2^27564992 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 27564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33668208).

27564992 is an abundant number, since it is smaller than the sum of its proper divisors (39771424).

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

27564992 is a wasteful number, since it uses less digits than its factorization.

27564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4755 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 27564992 is about 5250.2373279691. The cubic root of 27564992 is about 302.0781342501.

The spelling of 27564992 in words is "twenty-seven million, five hundred sixty-four thousand, nine hundred ninety-two".