271551240 has 96 divisors (see below), whose sum is σ = 894717720. Its totient is φ = 71414784.

The previous prime is 271551233. The next prime is 271551263. The reversal of 271551240 is 42155172.

271551240 is a `hidden beast` number, since 2 + 71 + 551 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246929796 + 24621444 = 15714^2 + 4962^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21114 + ... + 31446.

Almost surely, 2^271551240 is an apocalyptic number.

271551240 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 271551240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447358860).

271551240 is an abundant number, since it is smaller than the sum of its proper divisors (623166480).

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

271551240 is a wasteful number, since it uses less digits than its factorization.

271551240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 271551240 is about 16478.8118503732. The cubic root of 271551240 is about 647.5658385769.

The spelling of 271551240 in words is "two hundred seventy-one million, five hundred fifty-one thousand, two hundred forty".