273888 has 48 divisors (see below), whose sum is σ = 801360. Its totient is φ = 91008.

The previous prime is 273881. The next prime is 273899. The reversal of 273888 is 888372.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21504) is a multiple of the sum of its prime factors (336).

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 273888.

It is not an unprimeable number, because it can be changed into a prime (273881) by changing a digit.

273888 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 7 ways as a sum of consecutive naturals, for example, 706 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (16695).

2²⁷³⁸⁸⁸ 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 273888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400680).

273888 is an abundant number, since it is smaller than the sum of its proper divisors (527472).

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

273888 is a wasteful number, since it uses less digits than its factorization.

273888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 273888 is about 523.3430996966. The cubic root of 273888 is about 64.9418019511.

It can be divided in two parts, 27 and 3888, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 273888 in words is "two hundred seventy-three thousand, eight hundred eighty-eight".