118506800 has 120 divisors (see below), whose sum is σ = 309980160. Its totient is φ = 43372800.

The previous prime is 118506799. The next prime is 118506803. The reversal of 118506800 is 8605811.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (118506803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235349 + ... + 235851.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 2^118506800 is an apocalyptic number.

118506800 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 118506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

118506800 is an abundant number, since it is smaller than the sum of its proper divisors (191473360).

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

118506800 is a wasteful number, since it uses less digits than its factorization.

118506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 118506800 is about 10886.0828584023. The cubic root of 118506800 is about 491.1880100134.

The spelling of 118506800 in words is "one hundred eighteen million, five hundred six thousand, eight hundred".