270648 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 76896.

The previous prime is 270631. The next prime is 270653. The reversal of 270648 is 846072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

270648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁷⁰⁶⁴⁸ is an apocalyptic number.

270648 is a gapful number since it is divisible by the number (28) 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 270648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

270648 is an abundant number, since it is smaller than the sum of its proper divisors (593352).

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

270648 is a wasteful number, since it uses less digits than its factorization.

270648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270648 is about 520.2384068867. The cubic root of 270648 is about 64.6847058234.

It can be divided in two parts, 27064 and 8, that added together give a palindrome (27072).

The spelling of 270648 in words is "two hundred seventy thousand, six hundred forty-eight".