118817160 has 288 divisors, whose sum is σ = 458498880. Its totient is φ = 24541440.

The previous prime is 118817117. The next prime is 118817161. The reversal of 118817160 is 61718811.

118817160 = T₃₇₆ + T₃₇₇ + ... + T₉₁₄.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (118817161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711397 + ... + 711563.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^118817160 is an apocalyptic number.

118817160 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 118817160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

118817160 is an abundant number, since it is smaller than the sum of its proper divisors (339681720).

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

118817160 is a wasteful number, since it uses less digits than its factorization.

118817160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 33.

The square root of 118817160 is about 10900.3284354188. The cubic root of 118817160 is about 491.6164305020.

The spelling of 118817160 in words is "one hundred eighteen million, eight hundred seventeen thousand, one hundred sixty".