115416 has 48 divisors (see below), whose sum is σ = 358800. Its totient is φ = 32832.

The previous prime is 115399. The next prime is 115421. The reversal of 115416 is 614511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

115416 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 11 ways as a sum of consecutive naturals, for example, 390 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (7475).

2¹¹⁵⁴¹⁶ 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 115416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179400).

115416 is an abundant number, since it is smaller than the sum of its proper divisors (243384).

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

115416 is a wasteful number, since it uses less digits than its factorization.

115416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 115416 is about 339.7293040054. The cubic root of 115416 is about 48.6880079875.

Adding to 115416 its reverse (614511), we get a palindrome (729927).

The spelling of 115416 in words is "one hundred fifteen thousand, four hundred sixteen".