115909344 has 72 divisors (see below), whose sum is σ = 332317440. Its totient is φ = 38320128.

The previous prime is 115909309. The next prime is 115909361. The reversal of 115909344 is 443909511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115909299 and 115909308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34992 + ... + 38160.

It is an arithmetic number, because the mean of its divisors is an integer number (4615520).

Almost surely, 2^115909344 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 115909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166158720).

115909344 is an abundant number, since it is smaller than the sum of its proper divisors (216408096).

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

115909344 is a wasteful number, since it uses less digits than its factorization.

115909344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 115909344 is about 10766.1201925299. The cubic root of 115909344 is about 487.5728143702.

The spelling of 115909344 in words is "one hundred fifteen million, nine hundred nine thousand, three hundred forty-four".