163948832 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 74188800.

The previous prime is 163948783. The next prime is 163948849. The reversal of 163948832 is 238849361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179419 + ... + 1179557.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^163948832 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 163948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

163948832 is an abundant number, since it is smaller than the sum of its proper divisors (191673568).

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

163948832 is a wasteful number, since it uses less digits than its factorization.

163948832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 163948832 is about 12804.2505442529. The cubic root of 163948832 is about 547.3134350402.

The spelling of 163948832 in words is "one hundred sixty-three million, nine hundred forty-eight thousand, eight hundred thirty-two".