169842816 has 192 divisors, whose sum is σ = 574741440. Its totient is φ = 47462400.

The previous prime is 169842737. The next prime is 169842823. The reversal of 169842816 is 618248961.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 164221 + ... + 165251.

It is an arithmetic number, because the mean of its divisors is an integer number (2993445).

Almost surely, 2^169842816 is an apocalyptic number.

169842816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287370720).

169842816 is an abundant number, since it is smaller than the sum of its proper divisors (404898624).

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

169842816 is a wasteful number, since it uses less digits than its factorization.

169842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 169842816 is about 13032.3756851926. The cubic root of 169842816 is about 553.7950385875.

The spelling of 169842816 in words is "one hundred sixty-nine million, eight hundred forty-two thousand, eight hundred sixteen".