168419952 has 240 divisors, whose sum is σ = 548179200. Its totient is φ = 49351680.

The previous prime is 168419939. The next prime is 168419981. The reversal of 168419952 is 259914861.

It is a junction number, because it is equal to n+sod(n) for n = 168419898 and 168419907.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2372077 + ... + 2372147.

It is an arithmetic number, because the mean of its divisors is an integer number (2284080).

Almost surely, 2^168419952 is an apocalyptic number.

168419952 is a gapful number since it is divisible by the number (12) 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 168419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274089600).

168419952 is an abundant number, since it is smaller than the sum of its proper divisors (379759248).

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

168419952 is a wasteful number, since it uses less digits than its factorization.

168419952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 168419952 is about 12977.6712857122. The cubic root of 168419952 is about 552.2442208561.

The spelling of 168419952 in words is "one hundred sixty-eight million, four hundred nineteen thousand, nine hundred fifty-two".