168964224 has 256 divisors, whose sum is σ = 561375360. Its totient is φ = 44236800.

The previous prime is 168964219. The next prime is 168964247. The reversal of 168964224 is 422469861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933414 + ... + 933594.

Almost surely, 2^168964224 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 168964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

168964224 is an abundant number, since it is smaller than the sum of its proper divisors (392411136).

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

168964224 is a wasteful number, since it uses less digits than its factorization.

168964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 168964224 is about 12998.6239271701. The cubic root of 168964224 is about 552.8384653113.

It can be divided in two parts, 16896 and 4224, that multiplied together give a square (71368704 = 8448²).

The spelling of 168964224 in words is "one hundred sixty-eight million, nine hundred sixty-four thousand, two hundred twenty-four".