271023040 has 56 divisors (see below), whose sum is σ = 655057872. Its totient is φ = 106782720.

The previous prime is 271023031. The next prime is 271023047. The reversal of 271023040 is 40320172.

It is a junction number, because it is equal to n+sod(n) for n = 271022999 and 271023017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271023047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15120 + ... + 27760.

It is an arithmetic number, because the mean of its divisors is an integer number (11697462).

Almost surely, 2^271023040 is an apocalyptic number.

271023040 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 271023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327528936).

271023040 is an abundant number, since it is smaller than the sum of its proper divisors (384034832).

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

271023040 is a wasteful number, since it uses less digits than its factorization.

271023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 271023040 is about 16462.7774084448. Note that the first 3 decimals coincide. The cubic root of 271023040 is about 647.1457014315.

The spelling of 271023040 in words is "two hundred seventy-one million, twenty-three thousand, forty".