161952768 has 66 divisors (see below), whose sum is σ = 467661714. Its totient is φ = 53981184.

The previous prime is 161952701. The next prime is 161952787. The reversal of 161952768 is 867259161.

161952768 is a `hidden beast` number, since 1 + 61 + 9 + 527 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148644864 + 13307904 = 12192^2 + 3648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430 + ... + 18002.

Almost surely, 2^161952768 is an apocalyptic number.

161952768 is a gapful number since it is divisible by the number (18) 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 161952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233830857).

161952768 is an abundant number, since it is smaller than the sum of its proper divisors (305708946).

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

161952768 is a wasteful number, since it uses less digits than its factorization.

161952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17599 (or 17578 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 161952768 is about 12726.0664779027. The cubic root of 161952768 is about 545.0831935396.

The spelling of 161952768 in words is "one hundred sixty-one million, nine hundred fifty-two thousand, seven hundred sixty-eight".