271872006 has 64 divisors (see below), whose sum is σ = 651801600. Its totient is φ = 73915776.

The previous prime is 271872001. The next prime is 271872031. The reversal of 271872006 is 600278172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271872001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220600 + ... + 221828.

It is an arithmetic number, because the mean of its divisors is an integer number (10184400).

Almost surely, 2^271872006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271872006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325900800).

271872006 is an abundant number, since it is smaller than the sum of its proper divisors (379929594).

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

271872006 is a wasteful number, since it uses less digits than its factorization.

271872006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 271872006 is about 16488.5416577695. The cubic root of 271872006 is about 647.8207141942.

The spelling of 271872006 in words is "two hundred seventy-one million, eight hundred seventy-two thousand, six".