161968800 has 288 divisors, whose sum is σ = 623960064. Its totient is φ = 35712000.

The previous prime is 161968771. The next prime is 161968801. The reversal of 161968800 is 8869161.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (161968801) by changing a digit.

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, 520645 + ... + 520955.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^161968800 is an apocalyptic number.

161968800 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 161968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032).

161968800 is an abundant number, since it is smaller than the sum of its proper divisors (461991264).

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

161968800 is a wasteful number, since it uses less digits than its factorization.

161968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 161968800 is about 12726.6963505853. The cubic root of 161968800 is about 545.1011792061.

The spelling of 161968800 in words is "one hundred sixty-one million, nine hundred sixty-eight thousand, eight hundred".