115866000 has 240 divisors, whose sum is σ = 417192048. Its totient is φ = 29952000.

The previous prime is 115865993. The next prime is 115866031. The reversal of 115866000 is 668511.

115866000 is a `hidden beast` number, since 1 + 1 + 58 + 6 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81432576 + 34433424 = 9024^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737922 + ... + 738078.

Almost surely, 2^115866000 is an apocalyptic number.

115866000 is a gapful number since it is divisible by the number (10) 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 115866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596024).

115866000 is an abundant number, since it is smaller than the sum of its proper divisors (301326048).

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

115866000 is a wasteful number, since it uses less digits than its factorization.

115866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 115866000 is about 10764.1070228793. The cubic root of 115866000 is about 487.5120312613.

The spelling of 115866000 in words is "one hundred fifteen million, eight hundred sixty-six thousand".