1998800160 has 288 divisors, whose sum is σ = 7756560000. Its totient is φ = 429907968.

The previous prime is 1998800131. The next prime is 1998800179. The reversal of 1998800160 is 610088991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397341 + ... + 402339.

It is an arithmetic number, because the mean of its divisors is an integer number (26932500).

Almost surely, 2^1998800160 is an apocalyptic number.

1998800160 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 1998800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280000).

1998800160 is an abundant number, since it is smaller than the sum of its proper divisors (5757759840).

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

1998800160 is a wasteful number, since it uses less digits than its factorization.

1998800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 1998800160 is about 44707.9429184569. The cubic root of 1998800160 is about 1259.6690488826.

The spelling of 1998800160 in words is "one billion, nine hundred ninety-eight million, eight hundred thousand, one hundred sixty".