271661040 has 400 divisors, whose sum is σ = 1108375488. Its totient is φ = 60383232.

The previous prime is 271661017. The next prime is 271661041. The reversal of 271661040 is 40166172.

271661040 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 610 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 271660995 and 271661013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271661041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2404024 + ... + 2404136.

Almost surely, 2^271661040 is an apocalyptic number.

271661040 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 271661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554187744).

271661040 is an abundant number, since it is smaller than the sum of its proper divisors (836714448).

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

271661040 is a wasteful number, since it uses less digits than its factorization.

271661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 271661040 is about 16482.1430645411. The cubic root of 271661040 is about 647.6531065119.

The spelling of 271661040 in words is "two hundred seventy-one million, six hundred sixty-one thousand, forty".