115659648 has 96 divisors (see below), whose sum is σ = 358470840. Its totient is φ = 35582976.

The previous prime is 115659629. The next prime is 115659671. The reversal of 115659648 is 846956511.

115659648 is a `hidden beast` number, since 1 + 1 + 56 + 596 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 11115 + ... + 18837.

Almost surely, 2^115659648 is an apocalyptic number.

115659648 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 115659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179235420).

115659648 is an abundant number, since it is smaller than the sum of its proper divisors (242811192).

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

115659648 is a wasteful number, since it uses less digits than its factorization.

115659648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7741 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 115659648 is about 10754.5175624014. The cubic root of 115659648 is about 487.2224471365. Note that the first 3 decimals are identical.

The spelling of 115659648 in words is "one hundred fifteen million, six hundred fifty-nine thousand, six hundred forty-eight".