271601664 has 156 divisors (see below), whose sum is σ = 780831648. Its totient is φ = 83804160.

The previous prime is 271601663. The next prime is 271601689. The reversal of 271601664 is 466106172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271601663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8761329 + ... + 8761359.

Almost surely, 2^271601664 is an apocalyptic number.

271601664 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 271601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390415824).

271601664 is an abundant number, since it is smaller than the sum of its proper divisors (509229984).

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

271601664 is an equidigital number, since it uses as much as digits as its factorization.

271601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 271601664 is about 16480.3417440295. The cubic root of 271601664 is about 647.6059179850.

The spelling of 271601664 in words is "two hundred seventy-one million, six hundred one thousand, six hundred sixty-four".