115531920 has 280 divisors, whose sum is σ = 461893056. Its totient is φ = 26313984.

The previous prime is 115531903. The next prime is 115531939. The reversal of 115531920 is 29135511.

It is a tau number, because it is divible by the number of its divisors (280).

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

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 55 ways as a sum of consecutive naturals, for example, 408099 + ... + 408381.

Almost surely, 2^115531920 is an apocalyptic number.

115531920 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 115531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230946528).

115531920 is an abundant number, since it is smaller than the sum of its proper divisors (346361136).

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

115531920 is an equidigital number, since it uses as much as digits as its factorization.

115531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

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

The square root of 115531920 is about 10748.5775803127. The cubic root of 115531920 is about 487.0430273983.

The spelling of 115531920 in words is "one hundred fifteen million, five hundred thirty-one thousand, nine hundred twenty".