161305888 has 48 divisors (see below), whose sum is σ = 331967160. Its totient is φ = 77056000.

The previous prime is 161305883. The next prime is 161305889. The reversal of 161305888 is 888503161.

It can be written as a sum of positive squares in 4 ways, for example, as 161086864 + 219024 = 12692^2 + 468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 161305888.

It is not an unprimeable number, because it can be changed into a prime (161305883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92868 + ... + 94588.

Almost surely, 2^161305888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161305888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165983580).

161305888 is an abundant number, since it is smaller than the sum of its proper divisors (170661272).

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

161305888 is a wasteful number, since it uses less digits than its factorization.

161305888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 161305888 is about 12700.6254964076. The cubic root of 161305888 is about 544.3564921124.

The spelling of 161305888 in words is "one hundred sixty-one million, three hundred five thousand, eight hundred eighty-eight".