271232640 has 432 divisors, whose sum is σ = 1125793890. Its totient is φ = 59996160.

The previous prime is 271232579. The next prime is 271232651. The reversal of 271232640 is 46232172.

271232640 is a `hidden beast` number, since 2 + 7 + 12 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 27123264 = 15624^2 + 5208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8749425 + ... + 8749455.

Almost surely, 2^271232640 is an apocalyptic number.

271232640 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 271232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562896945).

271232640 is an abundant number, since it is smaller than the sum of its proper divisors (854561250).

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

271232640 is a wasteful number, since it uses less digits than its factorization.

271232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 271232640 is about 16469.1420541569. The cubic root of 271232640 is about 647.3124852679.

The spelling of 271232640 in words is "two hundred seventy-one million, two hundred thirty-two thousand, six hundred forty".