27248960 has 56 divisors (see below), whose sum is σ = 68717160. Its totient is φ = 10256384.

The previous prime is 27248957. The next prime is 27248981. The reversal of 27248960 is 6984272.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 21977344 = 2296^2 + 4688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2936 + ... + 7944.

Almost surely, 2^27248960 is an apocalyptic number.

27248960 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 27248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34358580).

27248960 is an abundant number, since it is smaller than the sum of its proper divisors (41468200).

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

27248960 is a wasteful number, since it uses less digits than its factorization.

27248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 27248960 is about 5220.0536395711. The cubic root of 27248960 is about 300.9192544347.

The spelling of 27248960 in words is "twenty-seven million, two hundred forty-eight thousand, nine hundred sixty".