271463664 has 160 divisors (see below), whose sum is σ = 774950400. Its totient is φ = 81607680.

The previous prime is 271463657. The next prime is 271463729. The reversal of 271463664 is 466364172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952907 + ... + 1953045.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^271463664 is an apocalyptic number.

271463664 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 271463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

271463664 is an abundant number, since it is smaller than the sum of its proper divisors (503486736).

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

271463664 is a wasteful number, since it uses less digits than its factorization.

271463664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 271463664 is about 16476.1544056858. The cubic root of 271463664 is about 647.4962171879.

The spelling of 271463664 in words is "two hundred seventy-one million, four hundred sixty-three thousand, six hundred sixty-four".