27664560 has 240 divisors, whose sum is σ = 116064000. Its totient is φ = 5736960.

The previous prime is 27664541. The next prime is 27664601. The reversal of 27664560 is 6546672.

27664560 is a `hidden beast` number, since 2 + 7 + 6 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55191 + ... + 55689.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^27664560 is an apocalyptic number.

27664560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

27664560 is an abundant number, since it is smaller than the sum of its proper divisors (88399440).

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

27664560 is a wasteful number, since it uses less digits than its factorization.

27664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 27664560 is about 5259.7110186777. The cubic root of 27664560 is about 302.4414111425.

It can be divided in two parts, 27664 and 560, that added together give a square (28224 = 168²).

The spelling of 27664560 in words is "twenty-seven million, six hundred sixty-four thousand, five hundred sixty".