271338320 has 80 divisors (see below), whose sum is σ = 690705792. Its totient is φ = 98311680.

The previous prime is 271338317. The next prime is 271338329. The reversal of 271338320 is 23833172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271338329) 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, 442334 + ... + 442946.

Almost surely, 2^271338320 is an apocalyptic number.

271338320 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 271338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345352896).

271338320 is an abundant number, since it is smaller than the sum of its proper divisors (419367472).

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

271338320 is a wasteful number, since it uses less digits than its factorization.

271338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 271338320 is about 16472.3501662635. The cubic root of 271338320 is about 647.3965448423.

It can be divided in two parts, 27133 and 8320, that added together give a palindrome (35453).

The spelling of 271338320 in words is "two hundred seventy-one million, three hundred thirty-eight thousand, three hundred twenty".