115816064 has 128 divisors (see below), whose sum is σ = 290398080. Its totient is φ = 44789760.

The previous prime is 115816013. The next prime is 115816069. The reversal of 115816064 is 460618511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 115816064.

It is not an unprimeable number, because it can be changed into a prime (115816069) 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 15 ways as a sum of consecutive naturals, for example, 710447 + ... + 710609.

It is an arithmetic number, because the mean of its divisors is an integer number (2268735).

Almost surely, 2^115816064 is an apocalyptic number.

115816064 is a gapful number since it is divisible by the number (14) 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 115816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145199040).

115816064 is an abundant number, since it is smaller than the sum of its proper divisors (174582016).

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

115816064 is a wasteful number, since it uses less digits than its factorization.

115816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 115816064 is about 10761.7872121688. The cubic root of 115816064 is about 487.4419851190.

The spelling of 115816064 in words is "one hundred fifteen million, eight hundred sixteen thousand, sixty-four".