161975160 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 42261120.

The previous prime is 161975153. The next prime is 161975161. The reversal of 161975160 is 61579161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161975161) 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, 49165 + ... + 52355.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^161975160 is an apocalyptic number.

161975160 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 161975160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

161975160 is an abundant number, since it is smaller than the sum of its proper divisors (389602440).

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

161975160 is a wasteful number, since it uses less digits than its factorization.

161975160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 161975160 is about 12726.9462165910. The cubic root of 161975160 is about 545.1083139097.

The spelling of 161975160 in words is "one hundred sixty-one million, nine hundred seventy-five thousand, one hundred sixty".