115321968 has 70 divisors (see below), whose sum is σ = 335035104. Its totient is φ = 38436768.

The previous prime is 115321967. The next prime is 115321981. The reversal of 115321968 is 869123511.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115321961) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6721 + ... + 16607.

Almost surely, 2^115321968 is an apocalyptic number.

115321968 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 115321968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167517552).

115321968 is an abundant number, since it is smaller than the sum of its proper divisors (219713136).

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

115321968 is an frugal number, since it uses more digits than its factorization.

115321968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9892 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115321968 is about 10738.8066376111. The cubic root of 115321968 is about 486.7478199147.

The spelling of 115321968 in words is "one hundred fifteen million, three hundred twenty-one thousand, nine hundred sixty-eight".