115783668 has 432 divisors, whose sum is σ = 439193664. Its totient is φ = 26127360.

The previous prime is 115783637. The next prime is 115783669. The reversal of 115783668 is 866387511.

115783668 = 57³ + 58³ + ... + 147³.

115783668 is a `hidden beast` number, since 11 + 578 + 3 + 6 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115783669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6810796 + ... + 6810812.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^115783668 is an apocalyptic number.

115783668 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 115783668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

115783668 is an abundant number, since it is smaller than the sum of its proper divisors (323409996).

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

115783668 is a wasteful number, since it uses less digits than its factorization.

115783668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 115783668 is about 10760.2819665657. The cubic root of 115783668 is about 487.3965318874.

The spelling of 115783668 in words is "one hundred fifteen million, seven hundred eighty-three thousand, six hundred sixty-eight".