161218080 has 192 divisors, whose sum is σ = 573713280. Its totient is φ = 42273792.

The previous prime is 161218069. The next prime is 161218081. The reversal of 161218080 is 80812161.

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

It is not an unprimeable number, because it can be changed into a prime (161218081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289162 + ... + 289718.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^161218080 is an apocalyptic number.

161218080 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 161218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

161218080 is an abundant number, since it is smaller than the sum of its proper divisors (412495200).

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

161218080 is a wasteful number, since it uses less digits than its factorization.

161218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 161218080 is about 12697.1681882221. The cubic root of 161218080 is about 544.2576994163.

The spelling of 161218080 in words is "one hundred sixty-one million, two hundred eighteen thousand, eighty".