161827968 has 64 divisors (see below), whose sum is σ = 433271520. Its totient is φ = 53514240.

The previous prime is 161827951. The next prime is 161827999. The reversal of 161827968 is 869728161.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48696 + ... + 51912.

Almost surely, 2^161827968 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 161827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216635760).

161827968 is an abundant number, since it is smaller than the sum of its proper divisors (271443552).

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

161827968 is a wasteful number, since it uses less digits than its factorization.

161827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3353 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 161827968 is about 12721.1622110560. The cubic root of 161827968 is about 544.9431447578.

The spelling of 161827968 in words is "one hundred sixty-one million, eight hundred twenty-seven thousand, nine hundred sixty-eight".