275664 has 20 divisors (see below), whose sum is σ = 712256. Its totient is φ = 91872.

The previous prime is 275657. The next prime is 275669. The reversal of 275664 is 466572.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 7⁴ + 6³ + 5⁵ + 6⁵ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275669) by changing a digit.

275664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2824 + ... + 2919.

2²⁷⁵⁶⁶⁴ is an apocalyptic number.

275664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

275664 is an abundant number, since it is smaller than the sum of its proper divisors (436592).

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

275664 is a wasteful number, since it uses less digits than its factorization.

275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5748 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 275664 is about 525.0371415433. The cubic root of 275664 is about 65.0818692268.

It can be divided in two parts, 275 and 664, that added together give a palindrome (939).

The spelling of 275664 in words is "two hundred seventy-five thousand, six hundred sixty-four".