271661952 has 64 divisors (see below), whose sum is σ = 732441600. Its totient is φ = 89193984.

The previous prime is 271661911. The next prime is 271661969. The reversal of 271661952 is 259166172.

271661952 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 271661952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20449 + ... + 31007.

It is an arithmetic number, because the mean of its divisors is an integer number (11444400).

Almost surely, 2^271661952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366220800).

271661952 is an abundant number, since it is smaller than the sum of its proper divisors (460779648).

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

271661952 is a wasteful number, since it uses less digits than its factorization.

271661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643 (or 10631 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 271661952 is about 16482.1707308230. The cubic root of 271661952 is about 647.6538312619.

The spelling of 271661952 in words is "two hundred seventy-one million, six hundred sixty-one thousand, nine hundred fifty-two".