115926920 has 96 divisors (see below), whose sum is σ = 281118600. Its totient is φ = 42964992.

The previous prime is 115926911. The next prime is 115926929. The reversal of 115926920 is 29629511.

It is an interprime number because it is at equal distance from previous prime (115926911) and next prime (115926929).

It can be written as a sum of positive squares in 12 ways, for example, as 62315236 + 53611684 = 7894^2 + 7322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115926929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588004 + ... + 1588076.

Almost surely, 2^115926920 is an apocalyptic number.

115926920 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 115926920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140559300).

115926920 is an abundant number, since it is smaller than the sum of its proper divisors (165191680).

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

115926920 is a wasteful number, since it uses less digits than its factorization.

115926920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 115926920 is about 10766.9364259292. The cubic root of 115926920 is about 487.5974576141.

The spelling of 115926920 in words is "one hundred fifteen million, nine hundred twenty-six thousand, nine hundred twenty".