118216800 has 288 divisors, whose sum is σ = 461532960. Its totient is φ = 29030400.

The previous prime is 118216799. The next prime is 118216801. The reversal of 118216800 is 8612811.

It is an interprime number because it is at equal distance from previous prime (118216799) and next prime (118216801).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118216801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280590 + ... + 281010.

It is an arithmetic number, because the mean of its divisors is an integer number (1602545).

Almost surely, 2^118216800 is an apocalyptic number.

118216800 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 118216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230766480).

118216800 is an abundant number, since it is smaller than the sum of its proper divisors (343316160).

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

118216800 is a wasteful number, since it uses less digits than its factorization.

118216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 118216800 is about 10872.7549406763. The cubic root of 118216800 is about 490.7870179073.

The spelling of 118216800 in words is "one hundred eighteen million, two hundred sixteen thousand, eight hundred".