115920000 has 480 divisors, whose sum is σ = 497090880. Its totient is φ = 25344000.

The previous prime is 115919987. The next prime is 115920043. The reversal of 115920000 is 29511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039989 + ... + 5040011.

It is an arithmetic number, because the mean of its divisors is an integer number (1035606).

Almost surely, 2^115920000 is an apocalyptic number.

115920000 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 115920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248545440).

115920000 is an abundant number, since it is smaller than the sum of its proper divisors (381170880).

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

115920000 is an equidigital number, since it uses as much as digits as its factorization.

115920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 115920000 is about 10766.6150669558. The cubic root of 115920000 is about 487.5877554053.

Adding to 115920000 its reverse (29511), we get a palindrome (115949511).

The spelling of 115920000 in words is "one hundred fifteen million, nine hundred twenty thousand".