115965000 has 160 divisors (see below), whose sum is σ = 402996000. Its totient is φ = 30888000.

The previous prime is 115964987. The next prime is 115965001. The reversal of 115965000 is 569511.

115965000 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115965001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134571 + ... + 135429.

It is an arithmetic number, because the mean of its divisors is an integer number (2518725).

Almost surely, 2^115965000 is an apocalyptic number.

115965000 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 115965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201498000).

115965000 is an abundant number, since it is smaller than the sum of its proper divisors (287031000).

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

115965000 is an equidigital number, since it uses as much as digits as its factorization.

115965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115965000 is about 10768.7046574785. The cubic root of 115965000 is about 487.6508408964.

The spelling of 115965000 in words is "one hundred fifteen million, nine hundred sixty-five thousand".