115623648 has 144 divisors (see below), whose sum is σ = 380854656. Its totient is φ = 32590080.

The previous prime is 115623623. The next prime is 115623671. The reversal of 115623648 is 846326511.

It is a happy number.

115623648 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166983 + ... + 167673.

It is an arithmetic number, because the mean of its divisors is an integer number (2644824).

Almost surely, 2^115623648 is an apocalyptic number.

115623648 is a gapful number since it is divisible by the number (18) 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 115623648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190427328).

115623648 is an abundant number, since it is smaller than the sum of its proper divisors (265231008).

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

115623648 is a wasteful number, since it uses less digits than its factorization.

115623648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 115623648 is about 10752.8437168965. The cubic root of 115623648 is about 487.1718912496.

The spelling of 115623648 in words is "one hundred fifteen million, six hundred twenty-three thousand, six hundred forty-eight".