115910640 has 240 divisors, whose sum is σ = 422666400. Its totient is φ = 28366848.

The previous prime is 115910623. The next prime is 115910647. The reversal of 115910640 is 46019511.

115910640 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 10 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115910647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506046 + ... + 506274.

It is an arithmetic number, because the mean of its divisors is an integer number (1761110).

Almost surely, 2^115910640 is an apocalyptic number.

115910640 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 115910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211333200).

115910640 is an abundant number, since it is smaller than the sum of its proper divisors (306755760).

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

115910640 is a wasteful number, since it uses less digits than its factorization.

115910640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 115910640 is about 10766.1803811751. The cubic root of 115910640 is about 487.5746315721.

The spelling of 115910640 in words is "one hundred fifteen million, nine hundred ten thousand, six hundred forty".