115653888 has 216 divisors, whose sum is σ = 390289536. Its totient is φ = 32256000.

The previous prime is 115653883. The next prime is 115653911. The reversal of 115653888 is 888356511.

115653888 is a `hidden beast` number, since 1 + 1 + 565 + 3 + 8 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115653883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145038 + ... + 1145138.

It is an arithmetic number, because the mean of its divisors is an integer number (1806896).

Almost surely, 2^115653888 is an apocalyptic number.

115653888 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 115653888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

115653888 is an abundant number, since it is smaller than the sum of its proper divisors (274635648).

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

115653888 is a wasteful number, since it uses less digits than its factorization.

115653888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 115653888 is about 10754.2497646279. The cubic root of 115653888 is about 487.2143588996.

The spelling of 115653888 in words is "one hundred fifteen million, six hundred fifty-three thousand, eight hundred eighty-eight".