115967880 has 192 divisors, whose sum is σ = 456243840. Its totient is φ = 24938496.

The previous prime is 115967851. The next prime is 115967923. The reversal of 115967880 is 88769511.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41487 + ... + 44193.

It is an arithmetic number, because the mean of its divisors is an integer number (2376270).

Almost surely, 2^115967880 is an apocalyptic number.

115967880 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 115967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228121920).

115967880 is an abundant number, since it is smaller than the sum of its proper divisors (340275960).

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

115967880 is a wasteful number, since it uses less digits than its factorization.

115967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 115967880 is about 10768.8383774667. The cubic root of 115967880 is about 487.6548778121.

The spelling of 115967880 in words is "one hundred fifteen million, nine hundred sixty-seven thousand, eight hundred eighty".