273085344 has 288 divisors, whose sum is σ = 957640320. Its totient is φ = 74898432.

The previous prime is 273085333. The next prime is 273085357. The reversal of 273085344 is 443580372.

It is a happy number.

273085344 is a `hidden beast` number, since 2 + 7 + 308 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 273085299 and 273085308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578442 + ... + 1578614.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2^273085344 is an apocalyptic number.

273085344 is a gapful number since it is divisible by the number (24) 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 273085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

273085344 is an abundant number, since it is smaller than the sum of its proper divisors (684554976).

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

273085344 is a wasteful number, since it uses less digits than its factorization.

273085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 273085344 is about 16525.2940669750. The cubic root of 273085344 is about 648.7830041013.

The spelling of 273085344 in words is "two hundred seventy-three million, eighty-five thousand, three hundred forty-four".