115296 has 24 divisors (see below), whose sum is σ = 302904. Its totient is φ = 38400.

The previous prime is 115279. The next prime is 115301. The reversal of 115296 is 692511.

115296 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

115296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (12621).

2¹¹⁵²⁹⁶ is an apocalyptic number.

115296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115296 is an abundant number, since it is smaller than the sum of its proper divisors (187608).

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

115296 is a wasteful number, since it uses less digits than its factorization.

115296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 115296 is about 339.5526468753. The cubic root of 115296 is about 48.6711282163.

It can be divided in two parts, 1152 and 96, that multiplied together give a cube (110592 = 48³).

The spelling of 115296 in words is "one hundred fifteen thousand, two hundred ninety-six".