270648960 has 128 divisors (see below), whose sum is σ = 874964160. Its totient is φ = 71147520.

The previous prime is 270648943. The next prime is 270648971. The reversal of 270648960 is 69846072.

270648960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139195 + ... + 141125.

Almost surely, 2^270648960 is an apocalyptic number.

270648960 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 270648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437482080).

270648960 is an abundant number, since it is smaller than the sum of its proper divisors (604315200).

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

270648960 is a wasteful number, since it uses less digits than its factorization.

270648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

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

The square root of 270648960 is about 16451.4120974462. The cubic root of 270648960 is about 646.8478230315.

It can be divided in two parts, 270 and 648960, that added together give a triangular number (649230 = T₁₁₃₉).

The spelling of 270648960 in words is "two hundred seventy million, six hundred forty-eight thousand, nine hundred sixty".