161198880 has 96 divisors (see below), whose sum is σ = 520224768. Its totient is φ = 41932800.

The previous prime is 161198867. The next prime is 161198903. The reversal of 161198880 is 88891161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 15585 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (5419008).

Almost surely, 2^161198880 is an apocalyptic number.

161198880 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 161198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260112384).

161198880 is an abundant number, since it is smaller than the sum of its proper divisors (359025888).

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

161198880 is a wasteful number, since it uses less digits than its factorization.

161198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 161198880 is about 12696.4120916108. The cubic root of 161198880 is about 544.2360927357.

The spelling of 161198880 in words is "one hundred sixty-one million, one hundred ninety-eight thousand, eight hundred eighty".