1000188000 has 672 divisors, whose sum is σ = 4296801600. Its totient is φ = 228614400.

The previous prime is 1000187971. The next prime is 1000188017. The reversal of 1000188000 is 8810001.

It is a happy number.

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.

1000188000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142883997 + ... + 142884003.

It is an arithmetic number, because the mean of its divisors is an integer number (6394050).

Almost surely, 2^1000188000 is an apocalyptic number.

1000188000 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 1000188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148400800).

1000188000 is an abundant number, since it is smaller than the sum of its proper divisors (3296613600).

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

1000188000 is an frugal number, since it uses more digits than its factorization.

1000188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1000188000 is about 31625.7490029881. The cubic root of 1000188000 is about 1000.0626627400.

Adding to 1000188000 its reverse (8810001), we get a palindrome (1008998001).

The spelling of 1000188000 in words is "one billion, one hundred eighty-eight thousand".