271242864 has 80 divisors (see below), whose sum is σ = 812448000. Its totient is φ = 86480064.

The previous prime is 271242863. The next prime is 271242877. The reversal of 271242864 is 468242172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271242863) 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, 3714 + ... + 23585.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^271242864 is an apocalyptic number.

271242864 is a gapful number since it is divisible by the number (24) 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 271242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

271242864 is an abundant number, since it is smaller than the sum of its proper divisors (541205136).

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

271242864 is a wasteful number, since it uses less digits than its factorization.

271242864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27339 (or 27327 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 271242864 is about 16469.4524499147. The cubic root of 271242864 is about 647.3206185561.

The spelling of 271242864 in words is "two hundred seventy-one million, two hundred forty-two thousand, eight hundred sixty-four".