161998200 has 576 divisors, whose sum is σ = 714954240. Its totient is φ = 31933440.

The previous prime is 161998181. The next prime is 161998201. The reversal of 161998200 is 2899161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161998201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3767379 + ... + 3767421.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^161998200 is an apocalyptic number.

161998200 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 161998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

161998200 is an abundant number, since it is smaller than the sum of its proper divisors (552956040).

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

161998200 is a wasteful number, since it uses less digits than its factorization.

161998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 161998200 is about 12727.8513504833. The cubic root of 161998200 is about 545.1341588193.

The spelling of 161998200 in words is "one hundred sixty-one million, nine hundred ninety-eight thousand, two hundred".