115648896 has 192 divisors, whose sum is σ = 358142400. Its totient is φ = 32947200.

The previous prime is 115648873. The next prime is 115648903. The reversal of 115648896 is 698846511.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882751 + ... + 882881.

It is an arithmetic number, because the mean of its divisors is an integer number (1865325).

Almost surely, 2^115648896 is an apocalyptic number.

115648896 is a gapful number since it is divisible by the number (16) 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 115648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179071200).

115648896 is an abundant number, since it is smaller than the sum of its proper divisors (242493504).

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

115648896 is a wasteful number, since it uses less digits than its factorization.

115648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 115648896 is about 10754.0176678300. The cubic root of 115648896 is about 487.2073488771.

The spelling of 115648896 in words is "one hundred fifteen million, six hundred forty-eight thousand, eight hundred ninety-six".