270360 has 48 divisors (see below), whose sum is σ = 879840. Its totient is φ = 72000.

The previous prime is 270343. The next prime is 270371. The reversal of 270360 is 63072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

270360 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 11 ways as a sum of consecutive naturals, for example, 16 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (18330).

2²⁷⁰³⁶⁰ is an apocalyptic number.

270360 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 270360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439920).

270360 is an abundant number, since it is smaller than the sum of its proper divisors (609480).

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

270360 is a wasteful number, since it uses less digits than its factorization.

270360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 270360 is about 519.9615370390. The cubic root of 270360 is about 64.6617537393.

It can be divided in two parts, 270 and 360, that added together give a triangular number (630 = T₃₅).

The spelling of 270360 in words is "two hundred seventy thousand, three hundred sixty".