116707968 has 96 divisors (see below), whose sum is σ = 361719540. Its totient is φ = 35905536.

The previous prime is 116707967. The next prime is 116707999. The reversal of 116707968 is 869707611.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 1617984 = 10728^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (116707967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11080 + ... + 18872.

Almost surely, 2^116707968 is an apocalyptic number.

116707968 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 116707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180859770).

116707968 is an abundant number, since it is smaller than the sum of its proper divisors (245011572).

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

116707968 is a wasteful number, since it uses less digits than its factorization.

116707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 116707968 is about 10803.1462083969. The cubic root of 116707968 is about 488.6900566416.

The spelling of 116707968 in words is "one hundred sixteen million, seven hundred seven thousand, nine hundred sixty-eight".