271278960 has 160 divisors (see below), whose sum is σ = 907441920. Its totient is φ = 66816000.

The previous prime is 271278949. The next prime is 271278961. The reversal of 271278960 is 69872172.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271278961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186235 + ... + 187685.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2^271278960 is an apocalyptic number.

271278960 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 271278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

271278960 is an abundant number, since it is smaller than the sum of its proper divisors (636162960).

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

271278960 is a wasteful number, since it uses less digits than its factorization.

271278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 271278960 is about 16470.5482604557. The cubic root of 271278960 is about 647.3493316294.

The spelling of 271278960 in words is "two hundred seventy-one million, two hundred seventy-eight thousand, nine hundred sixty".