27648960 has 112 divisors (see below), whose sum is σ = 89099136. Its totient is φ = 7263232.

The previous prime is 27648947. The next prime is 27648961. The reversal of 27648960 is 6984672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27648961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79507 + ... + 79853.

It is an arithmetic number, because the mean of its divisors is an integer number (795528).

Almost surely, 2^27648960 is an apocalyptic number.

27648960 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 27648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44549568).

27648960 is an abundant number, since it is smaller than the sum of its proper divisors (61450176).

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

27648960 is a wasteful number, since it uses less digits than its factorization.

27648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 27648960 is about 5258.2278383501. The cubic root of 27648960 is about 302.3845517150.

The spelling of 27648960 in words is "twenty-seven million, six hundred forty-eight thousand, nine hundred sixty".