273121920 has 96 divisors (see below), whose sum is σ = 943144020. Its totient is φ = 72830976.

The previous prime is 273121897. The next prime is 273121921. The reversal of 273121920 is 29121372.

It can be written as a sum of positive squares in 2 ways, for example, as 251666496 + 21455424 = 15864^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (273121921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17949 + ... + 29468.

Almost surely, 2^273121920 is an apocalyptic number.

273121920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

273121920 is an abundant number, since it is smaller than the sum of its proper divisors (670022100).

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

273121920 is a wasteful number, since it uses less digits than its factorization.

273121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47442 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 273121920 is about 16526.4006970665. The cubic root of 273121920 is about 648.8119679745.

The spelling of 273121920 in words is "two hundred seventy-three million, one hundred twenty-one thousand, nine hundred twenty".