115666656 has 144 divisors (see below), whose sum is σ = 359444736. Its totient is φ = 32465664.

The previous prime is 115666651. The next prime is 115666669. The reversal of 115666656 is 656666511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115666651) 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, 314985 + ... + 315351.

It is an arithmetic number, because the mean of its divisors is an integer number (2496144).

Almost surely, 2^115666656 is an apocalyptic number.

115666656 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 115666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179722368).

115666656 is an abundant number, since it is smaller than the sum of its proper divisors (243778080).

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

115666656 is a wasteful number, since it uses less digits than its factorization.

115666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 115666656 is about 10754.8433740339. The cubic root of 115666656 is about 487.2322874625.

The spelling of 115666656 in words is "one hundred fifteen million, six hundred sixty-six thousand, six hundred fifty-six".