271265840 has 80 divisors (see below), whose sum is σ = 650958336. Its totient is φ = 105062400.

The previous prime is 271265809. The next prime is 271265849. The reversal of 271265840 is 48562172.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 271265840.

It is not an unprimeable number, because it can be changed into a prime (271265849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626264 + ... + 626696.

Almost surely, 2^271265840 is an apocalyptic number.

271265840 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 271265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325479168).

271265840 is an abundant number, since it is smaller than the sum of its proper divisors (379692496).

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

271265840 is a wasteful number, since it uses less digits than its factorization.

271265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 271265840 is about 16470.1499689590. The cubic root of 271265840 is about 647.3388954346.

The spelling of 271265840 in words is "two hundred seventy-one million, two hundred sixty-five thousand, eight hundred forty".