270640 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 101376.

The previous prime is 270631. The next prime is 270653. The reversal of 270640 is 46072.

270640 = 76² + 77² + ... + 107².

270640 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 (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²⁷⁰⁶⁴⁰ is an apocalyptic number.

270640 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 270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

270640 is an abundant number, since it is smaller than the sum of its proper divisors (398960).

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

270640 is a wasteful number, since it uses less digits than its factorization.

270640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 270640 is about 520.2307180473. The cubic root of 270640 is about 64.6840684855.

The spelling of 270640 in words is "two hundred seventy thousand, six hundred forty".