271288640 has 112 divisors (see below), whose sum is σ = 742639104. Its totient is φ = 92467200.

The previous prime is 271288627. The next prime is 271288651. The reversal of 271288640 is 46882172.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 271288594 and 271288603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629225 + ... + 629655.

Almost surely, 2^271288640 is an apocalyptic number.

271288640 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 271288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371319552).

271288640 is an abundant number, since it is smaller than the sum of its proper divisors (471350464).

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

271288640 is a wasteful number, since it uses less digits than its factorization.

271288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 271288640 is about 16470.8421156904. The cubic root of 271288640 is about 647.3570312890.

The spelling of 271288640 in words is "two hundred seventy-one million, two hundred eighty-eight thousand, six hundred forty".