115264 has 14 divisors (see below), whose sum is σ = 228854. Its totient is φ = 57600.

The previous prime is 115259. The next prime is 115279. The reversal of 115264 is 462511.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 36864 = 280^2 + 192^2 .

It is a zygodrome in base 7.

It is an unprimeable number.

115264 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 837 + ... + 964.

2¹¹⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

115264 is a deficient number, since it is larger than the sum of its proper divisors (113590).

115264 is an equidigital number, since it uses as much as digits as its factorization.

115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1803 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 115264 is about 339.5055227828. The cubic root of 115264 is about 48.6666249661. Note that the first 4 decimals are identical.

Adding to 115264 its reverse (462511), we get a palindrome (577775).

The spelling of 115264 in words is "one hundred fifteen thousand, two hundred sixty-four".