270816 has 96 divisors (see below), whose sum is σ = 903168. Its totient is φ = 69120.

The previous prime is 270799. The next prime is 270821. The reversal of 270816 is 618072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270816.

It is an unprimeable number.

270816 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, 8721 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2²⁷⁰⁸¹⁶ is an apocalyptic number.

270816 is a gapful number since it is divisible by the number (26) 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 270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

270816 is an abundant number, since it is smaller than the sum of its proper divisors (632352).

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

270816 is a wasteful number, since it uses less digits than its factorization.

270816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 270816 is about 520.3998462721. The cubic root of 270816 is about 64.6980870207.

Adding to 270816 its reverse (618072), we get a palindrome (888888).

The spelling of 270816 in words is "two hundred seventy thousand, eight hundred sixteen".