273088 has 28 divisors (see below), whose sum is σ = 576072. Its totient is φ = 128000.

The previous prime is 273083. The next prime is 273107. The reversal of 273088 is 880372.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (273083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 963 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (20574).

2²⁷³⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036).

273088 is an abundant number, since it is smaller than the sum of its proper divisors (302984).

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

273088 is a wasteful number, since it uses less digits than its factorization.

273088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 273088 is about 522.5782238096. The cubic root of 273088 is about 64.8785107427.

Subtracting from 273088 its product of nonzero digits (2688), we obtain a square (270400 = 520²).

The spelling of 273088 in words is "two hundred seventy-three thousand, eighty-eight".