115390944 has 72 divisors (see below), whose sum is σ = 329631120. Its totient is φ = 38289408.

The previous prime is 115390943. The next prime is 115390981. The reversal of 115390944 is 449093511.

It is a happy number.

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

It is a super-2 number, since 2×115390944² = 26630139914422272, which contains 22 as substring.

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 = 115390899 and 115390908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115390943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73237 + ... + 74795.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2^115390944 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 115390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164815560).

115390944 is an abundant number, since it is smaller than the sum of its proper divisors (214240176).

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

115390944 is a wasteful number, since it uses less digits than its factorization.

115390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1821 counting only the distinct ones).

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

The square root of 115390944 is about 10742.0176875669. The cubic root of 115390944 is about 486.8448445803.

The spelling of 115390944 in words is "one hundred fifteen million, three hundred ninety thousand, nine hundred forty-four".