163689984 has 100 divisors (see below), whose sum is σ = 488695284. Its totient is φ = 54549504.

The previous prime is 163689973. The next prime is 163690001. The reversal of 163689984 is 489986361.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 163689984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39499 + ... + 43445.

Almost surely, 2^163689984 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 163689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244347642).

163689984 is an abundant number, since it is smaller than the sum of its proper divisors (325005300).

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

163689984 is an frugal number, since it uses more digits than its factorization.

163689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3952 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 163689984 is about 12794.1386579949. The cubic root of 163689984 is about 547.0252442877.

The spelling of 163689984 in words is "one hundred sixty-three million, six hundred eighty-nine thousand, nine hundred eighty-four".