163506304 has 64 divisors (see below), whose sum is σ = 354758040. Its totient is φ = 74612736.

The previous prime is 163506283. The next prime is 163506337. The reversal of 163506304 is 403605361.

It can be written as a sum of positive squares in 4 ways, for example, as 50126400 + 113379904 = 7080^2 + 10648^2 .

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

It is a super-2 number, since 2×163506304² = 53468622895480832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160902 + ... + 161914.

Almost surely, 2^163506304 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 163506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177379020).

163506304 is an abundant number, since it is smaller than the sum of its proper divisors (191251736).

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

163506304 is a wasteful number, since it uses less digits than its factorization.

163506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 163506304 is about 12786.9583560751. The cubic root of 163506304 is about 546.8205581679.

The spelling of 163506304 in words is "one hundred sixty-three million, five hundred six thousand, three hundred four".