118666800 has 360 divisors, whose sum is σ = 500119776. Its totient is φ = 25436160.

The previous prime is 118666787. The next prime is 118666813. The reversal of 118666800 is 8666811.

It is an interprime number because it is at equal distance from previous prime (118666787) and next prime (118666813).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 428262 + ... + 428538.

Almost surely, 2^118666800 is an apocalyptic number.

118666800 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 118666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250059888).

118666800 is an abundant number, since it is smaller than the sum of its proper divisors (381452976).

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

118666800 is a wasteful number, since it uses less digits than its factorization.

118666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 118666800 is about 10893.4292121444. The cubic root of 118666800 is about 491.4089670641.

The spelling of 118666800 in words is "one hundred eighteen million, six hundred sixty-six thousand, eight hundred".