271211040 has 144 divisors (see below), whose sum is σ = 933424128. Its totient is φ = 71705088.

The previous prime is 271211011. The next prime is 271211089. The reversal of 271211040 is 40112172.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182139 + ... + 183621.

It is an arithmetic number, because the mean of its divisors is an integer number (6482112).

Almost surely, 2^271211040 is an apocalyptic number.

271211040 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 271211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466712064).

271211040 is an abundant number, since it is smaller than the sum of its proper divisors (662213088).

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

271211040 is a wasteful number, since it uses less digits than its factorization.

271211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 271211040 is about 16468.4862692356. The cubic root of 271211040 is about 647.2953015926.

The spelling of 271211040 in words is "two hundred seventy-one million, two hundred eleven thousand, forty".