273128960 has 160 divisors (see below), whose sum is σ = 732140640. Its totient is φ = 97026048.

The previous prime is 273128939. The next prime is 273128963. The reversal of 273128960 is 69821372.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273128963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964979 + ... + 965261.

It is an arithmetic number, because the mean of its divisors is an integer number (4575879).

Almost surely, 2^273128960 is an apocalyptic number.

273128960 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 273128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366070320).

273128960 is an abundant number, since it is smaller than the sum of its proper divisors (459011680).

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

273128960 is a wasteful number, since it uses less digits than its factorization.

273128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 273128960 is about 16526.6136882303. The cubic root of 273128960 is about 648.8175425264.

The spelling of 273128960 in words is "two hundred seventy-three million, one hundred twenty-eight thousand, nine hundred sixty".