168839424 has 144 divisors (see below), whose sum is σ = 537980800. Its totient is φ = 51922944.

The previous prime is 168839413. The next prime is 168839431. The reversal of 168839424 is 424938861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 168839424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88917 + ... + 90795.

Almost surely, 2^168839424 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 168839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268990400).

168839424 is an abundant number, since it is smaller than the sum of its proper divisors (369141376).

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

168839424 is a wasteful number, since it uses less digits than its factorization.

168839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1897 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 168839424 is about 12993.8225322651. The cubic root of 168839424 is about 552.7023196575.

The spelling of 168839424 in words is "one hundred sixty-eight million, eight hundred thirty-nine thousand, four hundred twenty-four".