271352640 has 224 divisors, whose sum is σ = 983162880. Its totient is φ = 62816256.

The previous prime is 271352611. The next prime is 271352659. The reversal of 271352640 is 46253172.

271352640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 271352598 and 271352607.

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, 211521 + ... + 212799.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^271352640 is an apocalyptic number.

271352640 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 271352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

271352640 is an abundant number, since it is smaller than the sum of its proper divisors (711810240).

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

271352640 is a wasteful number, since it uses less digits than its factorization.

271352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 271352640 is about 16472.7848283161. The cubic root of 271352640 is about 647.4079335217.

The spelling of 271352640 in words is "two hundred seventy-one million, three hundred fifty-two thousand, six hundred forty".