118801600 has 84 divisors (see below), whose sum is σ = 299621448. Its totient is φ = 46336000.

The previous prime is 118801589. The next prime is 118801609. The reversal of 118801600 is 6108811.

It is a happy number.

It is a super-2 number, since 2×118801600² = 28227640325120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (118801609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64695 + ... + 66505.

It is an arithmetic number, because the mean of its divisors is an integer number (3566922).

Almost surely, 2^118801600 is an apocalyptic number.

118801600 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 118801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149810724).

118801600 is an abundant number, since it is smaller than the sum of its proper divisors (180819848).

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

118801600 is a wasteful number, since it uses less digits than its factorization.

118801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 118801600 is about 10899.6146720882. The cubic root of 118801600 is about 491.5949692765.

The spelling of 118801600 in words is "one hundred eighteen million, eight hundred one thousand, six hundred".