118918800 has 720 divisors, whose sum is σ = 572602240. Its totient is φ = 22809600.

The previous prime is 118918747. The next prime is 118918841. The reversal of 118918800 is 8819811.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9147594 + ... + 9147606.

Almost surely, 2^118918800 is an apocalyptic number.

118918800 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 118918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286301120).

118918800 is an abundant number, since it is smaller than the sum of its proper divisors (453683440).

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

118918800 is a wasteful number, since it uses less digits than its factorization.

118918800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 118918800 is about 10904.9896836265. The cubic root of 118918800 is about 491.7565720234.

The spelling of 118918800 in words is "one hundred eighteen million, nine hundred eighteen thousand, eight hundred".