273936 has 40 divisors (see below), whose sum is σ = 763840. Its totient is φ = 84096.

The previous prime is 273929. The next prime is 273941. The reversal of 273936 is 639372.

It is a happy number.

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 273936.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2²⁷³⁹³⁶ is an apocalyptic number.

273936 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 273936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381920).

273936 is an abundant number, since it is smaller than the sum of its proper divisors (489904).

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

273936 is a wasteful number, since it uses less digits than its factorization.

273936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 273936 is about 523.3889567043. The cubic root of 273936 is about 64.9455955022.

It can be divided in two parts, 2739 and 36, that added together give a triangular number (2775 = T₇₄).

The spelling of 273936 in words is "two hundred seventy-three thousand, nine hundred thirty-six".