118540800 has 480 divisors, whose sum is σ = 507408000. Its totient is φ = 27095040.

The previous prime is 118540783. The next prime is 118540801. The reversal of 118540800 is 8045811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

118540800 is a `hidden beast` number, since 118 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (118540801) 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, 16934397 + ... + 16934403.

It is an arithmetic number, because the mean of its divisors is an integer number (1057100).

Almost surely, 2^118540800 is an apocalyptic number.

118540800 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 118540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253704000).

118540800 is an abundant number, since it is smaller than the sum of its proper divisors (388867200).

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

118540800 is an frugal number, since it uses more digits than its factorization.

118540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 118540800 is about 10887.6443733252. The cubic root of 118540800 is about 491.2349800198.

The spelling of 118540800 in words is "one hundred eighteen million, five hundred forty thousand, eight hundred".