118345600 has 96 divisors (see below), whose sum is σ = 302034240. Its totient is φ = 45772800.

The previous prime is 118345567. The next prime is 118345609. The reversal of 118345600 is 6543811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118345609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98604 + ... + 99796.

It is an arithmetic number, because the mean of its divisors is an integer number (3146190).

Almost surely, 2^118345600 is an apocalyptic number.

118345600 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 118345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151017120).

118345600 is an abundant number, since it is smaller than the sum of its proper divisors (183688640).

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

118345600 is a wasteful number, since it uses less digits than its factorization.

118345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 118345600 is about 10878.6763900761. The cubic root of 118345600 is about 490.9651945689.

The spelling of 118345600 in words is "one hundred eighteen million, three hundred forty-five thousand, six hundred".