273264 has 20 divisors (see below), whose sum is σ = 706056. Its totient is φ = 91072.

The previous prime is 273253. The next prime is 273269. The reversal of 273264 is 462372.

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

It is a d-powerful number, because it can be written as 2⁹ + 7⁴ + 2¹³ + 3² + 6 + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273269) 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, 2799 + ... + 2894.

2²⁷³²⁶⁴ is an apocalyptic number.

273264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

273264 is an abundant number, since it is smaller than the sum of its proper divisors (432792).

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

273264 is a wasteful number, since it uses less digits than its factorization.

273264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5698 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 273264 is about 522.7465925283. The cubic root of 273264 is about 64.8924454032.

The spelling of 273264 in words is "two hundred seventy-three thousand, two hundred sixty-four".