271328640 has 256 divisors, whose sum is σ = 978220800. Its totient is φ = 63365120.

The previous prime is 271328623. The next prime is 271328711. The reversal of 271328640 is 46823172.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612259 + ... + 612701.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2^271328640 is an apocalyptic number.

271328640 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 271328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489110400).

271328640 is an abundant number, since it is smaller than the sum of its proper divisors (706892160).

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

271328640 is a wasteful number, since it uses less digits than its factorization.

271328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 271328640 is about 16472.0563379318. The cubic root of 271328640 is about 647.3888461225.

The spelling of 271328640 in words is "two hundred seventy-one million, three hundred twenty-eight thousand, six hundred forty".