115206948 has 60 divisors (see below), whose sum is σ = 306901980. Its totient is φ = 37672128.

The previous prime is 115206941. The next prime is 115206967. The reversal of 115206948 is 849602511.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 35497764 = 8928^2 + 5958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115206941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13818 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (5115033).

Almost surely, 2^115206948 is an apocalyptic number.

115206948 is a gapful number since it is divisible by the number (18) 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 115206948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153450990).

115206948 is an abundant number, since it is smaller than the sum of its proper divisors (191695032).

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

115206948 is a wasteful number, since it uses less digits than its factorization.

115206948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 115206948 is about 10733.4499579585. The cubic root of 115206948 is about 486.5859416574.

The spelling of 115206948 in words is "one hundred fifteen million, two hundred six thousand, nine hundred forty-eight".