1998237600 has 432 divisors, whose sum is σ = 7706069280. Its totient is φ = 503884800.

The previous prime is 1998237599. The next prime is 1998237667. The reversal of 1998237600 is 67328991.

1998237600 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 2 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3693330 + ... + 3693870.

Almost surely, 2^1998237600 is an apocalyptic number.

1998237600 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 1998237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853034640).

1998237600 is an abundant number, since it is smaller than the sum of its proper divisors (5707831680).

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

1998237600 is a wasteful number, since it uses less digits than its factorization.

1998237600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1998237600 is about 44701.6509762223. The cubic root of 1998237600 is about 1259.5508603268.

The spelling of 1998237600 in words is "one billion, nine hundred ninety-eight million, two hundred thirty-seven thousand, six hundred".