115948820 has 96 divisors (see below), whose sum is σ = 274125600. Its totient is φ = 40919040.

The previous prime is 115948817. The next prime is 115948837. The reversal of 115948820 is 28849511.

It can be written as a sum of positive squares in 16 ways, for example, as 94400656 + 21548164 = 9716^2 + 4642^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778106 + ... + 778254.

It is an arithmetic number, because the mean of its divisors is an integer number (2855475).

Almost surely, 2^115948820 is an apocalyptic number.

115948820 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 115948820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137062800).

115948820 is an abundant number, since it is smaller than the sum of its proper divisors (158176780).

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

115948820 is a wasteful number, since it uses less digits than its factorization.

115948820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 115948820 is about 10767.9533802854. The cubic root of 115948820 is about 487.6281600369.

The spelling of 115948820 in words is "one hundred fifteen million, nine hundred forty-eight thousand, eight hundred twenty".