118368000 has 288 divisors, whose sum is σ = 440032320. Its totient is φ = 31334400.

The previous prime is 118367993. The next prime is 118368007. The reversal of 118368000 is 863811.

It is an interprime number because it is at equal distance from previous prime (118367993) and next prime (118368007).

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 (118368007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863932 + ... + 864068.

It is an arithmetic number, because the mean of its divisors is an integer number (1527890).

Almost surely, 2^118368000 is an apocalyptic number.

118368000 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 118368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220016160).

118368000 is an abundant number, since it is smaller than the sum of its proper divisors (321664320).

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

118368000 is an equidigital number, since it uses as much as digits as its factorization.

118368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 118368000 is about 10879.7058783774. The cubic root of 118368000 is about 490.9961686160.

The spelling of 118368000 in words is "one hundred eighteen million, three hundred sixty-eight thousand".