273273960 has 128 divisors (see below), whose sum is σ = 892944000. Its totient is φ = 66640896.

The previous prime is 273273943. The next prime is 273273977. The reversal of 273273960 is 69372372.

It is a Cunningham number, because it is equal to 16531²-1.

It is an interprime number because it is at equal distance from previous prime (273273943) and next prime (273273977).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64054 + ... + 68186.

It is an arithmetic number, because the mean of its divisors is an integer number (6976125).

Almost surely, 2^273273960 is an apocalyptic number.

273273960 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 273273960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446472000).

273273960 is an abundant number, since it is smaller than the sum of its proper divisors (619670040).

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

273273960 is a wasteful number, since it uses less digits than its factorization.

273273960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 273273960 is about 16530.9999697538. Note that the first 4 decimals coincide. The cubic root of 273273960 is about 648.9323379943.

The spelling of 273273960 in words is "two hundred seventy-three million, two hundred seventy-three thousand, nine hundred sixty".