273920 has 40 divisors (see below), whose sum is σ = 662904. Its totient is φ = 108544.

The previous prime is 273919. The next prime is 273929. The reversal of 273920 is 29372.

273920 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

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 273920.

It is not an unprimeable number, because it can be changed into a prime (273929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2507 + ... + 2613.

2²⁷³⁹²⁰ is an apocalyptic number.

273920 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 273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452).

273920 is an abundant number, since it is smaller than the sum of its proper divisors (388984).

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

273920 is an equidigital number, since it uses as much as digits as its factorization.

273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 273920 is about 523.3736714815. The cubic root of 273920 is about 64.9443310344.

The spelling of 273920 in words is "two hundred seventy-three thousand, nine hundred twenty".