115726820 has 144 divisors (see below), whose sum is σ = 295611120. Its totient is φ = 37847040.

The previous prime is 115726801. The next prime is 115726921. The reversal of 115726820 is 28627511.

It can be written as a sum of positive squares in 8 ways, for example, as 465124 + 115261696 = 682^2 + 10736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193012 + ... + 1193108.

It is an arithmetic number, because the mean of its divisors is an integer number (2052855).

Almost surely, 2^115726820 is an apocalyptic number.

115726820 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 115726820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147805560).

115726820 is an abundant number, since it is smaller than the sum of its proper divisors (179884300).

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

115726820 is a wasteful number, since it uses less digits than its factorization.

115726820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 115726820 is about 10757.6400757787. The cubic root of 115726820 is about 487.3167507622.

The spelling of 115726820 in words is "one hundred fifteen million, seven hundred twenty-six thousand, eight hundred twenty".