115320 has 48 divisors (see below), whose sum is σ = 357480. Its totient is φ = 29760.

The previous prime is 115319. The next prime is 115321. The reversal of 115320 is 23511.

It is an interprime number because it is at equal distance from previous prime (115319) and next prime (115321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 115296 and 115305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115320.

It is not an unprimeable number, because it can be changed into a prime (115321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3705 + ... + 3735.

2¹¹⁵³²⁰ is an apocalyptic number.

115320 is a gapful number since it is divisible by the number (10) 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 115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178740).

115320 is an abundant number, since it is smaller than the sum of its proper divisors (242160).

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

115320 is a wasteful number, since it uses less digits than its factorization.

115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 115320 is about 339.5879856532. The cubic root of 115320 is about 48.6745051072.

Multiplying 115320 by its product of nonzero digits (30), we get a square (3459600 = 1860²).

115320 divided by its product of nonzero digits (30) gives a square (3844 = 62²).

Adding to 115320 its reverse (23511), we get a palindrome (138831).

Subtracting from 115320 its reverse (23511), we obtain a square (91809 = 303²).

It can be divided in two parts, 115 and 320, that added together give a triangular number (435 = T₂₉).

The spelling of 115320 in words is "one hundred fifteen thousand, three hundred twenty".