127264 has 24 divisors (see below), whose sum is σ = 259308. Its totient is φ = 61440.

The previous prime is 127261. The next prime is 127271. The reversal of 127264 is 462721.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 11664 = 340^2 + 108^2 .

It is a super-2 number, since 2×127264² = 32392251392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127261) by changing a digit.

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, 1264 + ... + 1360.

2¹²⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129654).

127264 is an abundant number, since it is smaller than the sum of its proper divisors (132044).

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

127264 is an equidigital number, since it uses as much as digits as its factorization.

127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 127264 is about 356.7408022641. The cubic root of 127264 is about 50.3000623165.

Adding to 127264 its reverse (462721), we get a palindrome (589985).

The spelling of 127264 in words is "one hundred twenty-seven thousand, two hundred sixty-four".