271072648 has 64 divisors (see below), whose sum is σ = 649192320. Its totient is φ = 103027200.

The previous prime is 271072603. The next prime is 271072661. The reversal of 271072648 is 846270172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19890 + ... + 30622.

It is an arithmetic number, because the mean of its divisors is an integer number (10143630).

Almost surely, 2^271072648 is an apocalyptic number.

271072648 is a gapful number since it is divisible by the number (28) 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 271072648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324596160).

271072648 is an abundant number, since it is smaller than the sum of its proper divisors (378119672).

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

271072648 is a wasteful number, since it uses less digits than its factorization.

271072648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 271072648 is about 16464.2840111558. The cubic root of 271072648 is about 647.1851834935.

The spelling of 271072648 in words is "two hundred seventy-one million, seventy-two thousand, six hundred forty-eight".