271920960 has 168 divisors, whose sum is σ = 941466240. Its totient is φ = 72035328.

The previous prime is 271920959. The next prime is 271920997. The reversal of 271920960 is 69029172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 757261 + ... + 757619.

Almost surely, 2^271920960 is an apocalyptic number.

271920960 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 271920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470733120).

271920960 is an abundant number, since it is smaller than the sum of its proper divisors (669545280).

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

271920960 is a wasteful number, since it uses less digits than its factorization.

271920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 271920960 is about 16490.0260763893. The cubic root of 271920960 is about 647.8595946370.

The spelling of 271920960 in words is "two hundred seventy-one million, nine hundred twenty thousand, nine hundred sixty".