116765440 has 72 divisors (see below), whose sum is σ = 305152848. Its totient is φ = 42455040.

The previous prime is 116765423. The next prime is 116765447. The reversal of 116765440 is 44567611.

It is a junction number, because it is equal to n+sod(n) for n = 116765396 and 116765405.

It is not an unprimeable number, because it can be changed into a prime (116765447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9934 + ... + 18226.

It is an arithmetic number, because the mean of its divisors is an integer number (4238234).

Almost surely, 2^116765440 is an apocalyptic number.

116765440 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 116765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152576424).

116765440 is an abundant number, since it is smaller than the sum of its proper divisors (188387408).

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

116765440 is an equidigital number, since it uses as much as digits as its factorization.

116765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 116765440 is about 10805.8058468584. The cubic root of 116765440 is about 488.7702607797.

The spelling of 116765440 in words is "one hundred sixteen million, seven hundred sixty-five thousand, four hundred forty".