115089920 has 160 divisors (see below), whose sum is σ = 310533696. Its totient is φ = 40550400.

The previous prime is 115089917. The next prime is 115089937. The reversal of 115089920 is 29980511.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×115089920³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717727 + ... + 1717793.

Almost surely, 2^115089920 is an apocalyptic number.

115089920 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 115089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155266848).

115089920 is an abundant number, since it is smaller than the sum of its proper divisors (195443776).

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

115089920 is an equidigital number, since it uses as much as digits as its factorization.

115089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 115089920 is about 10727.9970171510. The cubic root of 115089920 is about 486.4211267370.

The spelling of 115089920 in words is "one hundred fifteen million, eighty-nine thousand, nine hundred twenty".