168429744 has 120 divisors (see below), whose sum is σ = 570454560. Its totient is φ = 45287424.

The previous prime is 168429739. The next prime is 168429773. The reversal of 168429744 is 447924861.

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 168429744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12222 + ... + 22050.

It is an arithmetic number, because the mean of its divisors is an integer number (4753788).

Almost surely, 2^168429744 is an apocalyptic number.

168429744 is a gapful number since it is divisible by the number (14) 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 168429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285227280).

168429744 is an abundant number, since it is smaller than the sum of its proper divisors (402024816).

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

168429744 is a wasteful number, since it uses less digits than its factorization.

168429744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9858 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 168429744 is about 12978.0485435985. The cubic root of 168429744 is about 552.2549232117.

The spelling of 168429744 in words is "one hundred sixty-eight million, four hundred twenty-nine thousand, seven hundred forty-four".