27966560 has 48 divisors (see below), whose sum is σ = 66751776. Its totient is φ = 11071488.

The previous prime is 27966541. The next prime is 27966569. The reversal of 27966560 is 6566972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15632 + ... + 17328.

It is an arithmetic number, because the mean of its divisors is an integer number (1390662).

Almost surely, 2^27966560 is an apocalyptic number.

27966560 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 27966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33375888).

27966560 is an abundant number, since it is smaller than the sum of its proper divisors (38785216).

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

27966560 is a wasteful number, since it uses less digits than its factorization.

27966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 27966560 is about 5288.3418951501. The cubic root of 27966560 is about 303.5379638708.

The spelling of 27966560 in words is "twenty-seven million, nine hundred sixty-six thousand, five hundred sixty".