161935200 has 648 divisors, whose sum is σ = 729375192. Its totient is φ = 34836480.

The previous prime is 161935171. The next prime is 161935211. The reversal of 161935200 is 2539161.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9525592 + ... + 9525608.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^161935200 is an apocalyptic number.

161935200 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 161935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364687596).

161935200 is an abundant number, since it is smaller than the sum of its proper divisors (567439992).

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

161935200 is a wasteful number, since it uses less digits than its factorization.

161935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 161935200 is about 12725.3762223362. The cubic root of 161935200 is about 545.0634833325.

The spelling of 161935200 in words is "one hundred sixty-one million, nine hundred thirty-five thousand, two hundred".