271842816 has 160 divisors (see below), whose sum is σ = 838303488. Its totient is φ = 76677120.

The previous prime is 271842803. The next prime is 271842817. The reversal of 271842816 is 618248172.

It is a happy number.

It is a super-2 number, since 2×271842816² = 147797033221619712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (43008) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271842817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408416 + ... + 1408608.

Almost surely, 2^271842816 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 271842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419151744).

271842816 is an abundant number, since it is smaller than the sum of its proper divisors (566460672).

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

271842816 is a wasteful number, since it uses less digits than its factorization.

271842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 271842816 is about 16487.6564738595. The cubic root of 271842816 is about 647.7975285737.

The spelling of 271842816 in words is "two hundred seventy-one million, eight hundred forty-two thousand, eight hundred sixteen".