168067440 has 320 divisors, whose sum is σ = 642816000. Its totient is φ = 40144896.

The previous prime is 168067439. The next prime is 168067517. The reversal of 168067440 is 44760861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 168067395 and 168067404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844461 + ... + 844659.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^168067440 is an apocalyptic number.

168067440 is a gapful number since it is divisible by the number (10) 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 168067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

168067440 is an abundant number, since it is smaller than the sum of its proper divisors (474748560).

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

168067440 is a wasteful number, since it uses less digits than its factorization.

168067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168067440 is about 12964.0826902639. The cubic root of 168067440 is about 551.8586594648.

The spelling of 168067440 in words is "one hundred sixty-eight million, sixty-seven thousand, four hundred forty".