161632768 has 60 divisors (see below), whose sum is σ = 355113990. Its totient is φ = 73441280.

The previous prime is 161632763. The next prime is 161632777. The reversal of 161632768 is 867236161.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 139051264 + 22581504 = 11792^2 + 4752^2 .

It is a super-2 number, since 2×161632768² = 52250303382683648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161632768.

It is not an unprimeable number, because it can be changed into a prime (161632763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60648 + ... + 63256.

Almost surely, 2^161632768 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 161632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177556995).

161632768 is an abundant number, since it is smaller than the sum of its proper divisors (193481222).

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

161632768 is an equidigital number, since it uses as much as digits as its factorization.

161632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2622 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 161632768 is about 12713.4876410842. The cubic root of 161632768 is about 544.7239496426.

The spelling of 161632768 in words is "one hundred sixty-one million, six hundred thirty-two thousand, seven hundred sixty-eight".