271920096 has 288 divisors, whose sum is σ = 964454400. Its totient is φ = 70917120.

The previous prime is 271920073. The next prime is 271920107. The reversal of 271920096 is 690029172.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 271920096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187310 + ... + 1187538.

It is an arithmetic number, because the mean of its divisors is an integer number (3348800).

Almost surely, 2^271920096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482227200).

271920096 is an abundant number, since it is smaller than the sum of its proper divisors (692534304).

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

271920096 is a wasteful number, since it uses less digits than its factorization.

271920096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 271920096 is about 16489.9998787144. Note that the first 3 decimals coincide. The cubic root of 271920096 is about 647.8589084679.

The spelling of 271920096 in words is "two hundred seventy-one million, nine hundred twenty thousand, ninety-six".