271285920 has 144 divisors (see below), whose sum is σ = 966131712. Its totient is φ = 69189120.

The previous prime is 271285907. The next prime is 271285997. The reversal of 271285920 is 29582172.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 29025 + ... + 37215.

It is an arithmetic number, because the mean of its divisors is an integer number (6709248).

Almost surely, 2^271285920 is an apocalyptic number.

271285920 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 271285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483065856).

271285920 is an abundant number, since it is smaller than the sum of its proper divisors (694845792).

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

271285920 is a wasteful number, since it uses less digits than its factorization.

271285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 271285920 is about 16470.7595453276. The cubic root of 271285920 is about 647.3548677668.

The spelling of 271285920 in words is "two hundred seventy-one million, two hundred eighty-five thousand, nine hundred twenty".