118968320 has 104 divisors (see below), whose sum is σ = 295072584. Its totient is φ = 46006272.

The previous prime is 118968307. The next prime is 118968323. The reversal of 118968320 is 23869811.

It can be written as a sum of positive squares in 4 ways, for example, as 21827584 + 97140736 = 4672^2 + 9856^2 .

It is a super-2 number, since 2×118968320² = 28306922327244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118968323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757682 + ... + 757838.

Almost surely, 2^118968320 is an apocalyptic number.

118968320 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 118968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147536292).

118968320 is an abundant number, since it is smaller than the sum of its proper divisors (176104264).

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

118968320 is an equidigital number, since it uses as much as digits as its factorization.

118968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 118968320 is about 10907.2599675629. The cubic root of 118968320 is about 491.8248214117.

The spelling of 118968320 in words is "one hundred eighteen million, nine hundred sixty-eight thousand, three hundred twenty".