271966960 has 40 divisors (see below), whose sum is σ = 633017520. Its totient is φ = 108667392.

The previous prime is 271966949. The next prime is 271966979. The reversal of 271966960 is 69669172.

271966960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 271966960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125244 + ... + 127396.

It is an arithmetic number, because the mean of its divisors is an integer number (15825438).

Almost surely, 2^271966960 is an apocalyptic number.

271966960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271966960 is an abundant number, since it is smaller than the sum of its proper divisors (361050560).

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

271966960 is a wasteful number, since it uses less digits than its factorization.

271966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 271966960 is about 16491.4207999190. The cubic root of 271966960 is about 647.8961246898.

The spelling of 271966960 in words is "two hundred seventy-one million, nine hundred sixty-six thousand, nine hundred sixty".