118960800 has 288 divisors, whose sum is σ = 453220992. Its totient is φ = 26542080.

The previous prime is 118960771. The next prime is 118960811. The reversal of 118960800 is 8069811.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226352 + ... + 1226448.

It is an arithmetic number, because the mean of its divisors is an integer number (1573684).

Almost surely, 2^118960800 is an apocalyptic number.

118960800 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 118960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226610496).

118960800 is an abundant number, since it is smaller than the sum of its proper divisors (334260192).

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

118960800 is a wasteful number, since it uses less digits than its factorization.

118960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 118960800 is about 10906.9152375912. The cubic root of 118960800 is about 491.8144584271.

The spelling of 118960800 in words is "one hundred eighteen million, nine hundred sixty thousand, eight hundred".