27630564 has 48 divisors (see below), whose sum is σ = 71322048. Its totient is φ = 8270208.

The previous prime is 27630557. The next prime is 27630637. The reversal of 27630564 is 46503672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3379 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 2^27630564 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 27630564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661024).

27630564 is an abundant number, since it is smaller than the sum of its proper divisors (43691484).

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

27630564 is a wasteful number, since it uses less digits than its factorization.

27630564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 27630564 is about 5256.4782887405. The cubic root of 27630564 is about 302.3174738410.

The spelling of 27630564 in words is "twenty-seven million, six hundred thirty thousand, five hundred sixty-four".