271368864 has 72 divisors (see below), whose sum is σ = 831078612. Its totient is φ = 83496960.

The previous prime is 271368859. The next prime is 271368869. The reversal of 271368864 is 468863172.

It is an interprime number because it is at equal distance from previous prime (271368859) and next prime (271368869).

It can be written as a sum of positive squares in 2 ways, for example, as 252810000 + 18558864 = 15900^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (271368869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32497 + ... + 39984.

Almost surely, 2^271368864 is an apocalyptic number.

271368864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

271368864 is an abundant number, since it is smaller than the sum of its proper divisors (559709748).

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

271368864 is a wasteful number, since it uses less digits than its factorization.

271368864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72510 (or 72499 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 271368864 is about 16473.2772695660. The cubic root of 271368864 is about 647.4208359660.

The spelling of 271368864 in words is "two hundred seventy-one million, three hundred sixty-eight thousand, eight hundred sixty-four".