271218960 has 120 divisors (see below), whose sum is σ = 916828224. Its totient is φ = 71850240.

The previous prime is 271218953. The next prime is 271218973. The reversal of 271218960 is 69812172.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 116205 + ... + 118515.

Almost surely, 2^271218960 is an apocalyptic number.

271218960 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 271218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458414112).

271218960 is an abundant number, since it is smaller than the sum of its proper divisors (645609264).

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

271218960 is a wasteful number, since it uses less digits than its factorization.

271218960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 271218960 is about 16468.7267267388. The cubic root of 271218960 is about 647.3016023795.

The spelling of 271218960 in words is "two hundred seventy-one million, two hundred eighteen thousand, nine hundred sixty".