271988640 has 432 divisors, whose sum is σ = 1171183104. Its totient is φ = 56263680.

The previous prime is 271988621. The next prime is 271988659. The reversal of 271988640 is 46889172.

It is an interprime number because it is at equal distance from previous prime (271988621) and next prime (271988659).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219569 + ... + 1219791.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2^271988640 is an apocalyptic number.

271988640 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 271988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

271988640 is an abundant number, since it is smaller than the sum of its proper divisors (899194464).

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

271988640 is a wasteful number, since it uses less digits than its factorization.

271988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 271988640 is about 16492.0780982871. The cubic root of 271988640 is about 647.9133400343.

The spelling of 271988640 in words is "two hundred seventy-one million, nine hundred eighty-eight thousand, six hundred forty".