115946880 has 128 divisors (see below), whose sum is σ = 422426880. Its totient is φ = 26499072.

The previous prime is 115946867. The next prime is 115946891. The reversal of 115946880 is 88649511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 17753.

It is an arithmetic number, because the mean of its divisors is an integer number (3300210).

Almost surely, 2^115946880 is an apocalyptic number.

115946880 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 115946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211213440).

115946880 is an abundant number, since it is smaller than the sum of its proper divisors (306480000).

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

115946880 is an equidigital number, since it uses as much as digits as its factorization.

115946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 115946880 is about 10767.8632977950. The cubic root of 115946880 is about 487.6254404350.

The spelling of 115946880 in words is "one hundred fifteen million, nine hundred forty-six thousand, eight hundred eighty".