168431040 has 168 divisors, whose sum is σ = 584137008. Its totient is φ = 44544000.

The previous prime is 168431027. The next prime is 168431041. The reversal of 168431040 is 40134861.

It is a junction number, because it is equal to n+sod(n) for n = 168430995 and 168431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168431041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670915 + ... + 671165.

It is an arithmetic number, because the mean of its divisors is an integer number (3477006).

Almost surely, 2^168431040 is an apocalyptic number.

168431040 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 168431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292068504).

168431040 is an abundant number, since it is smaller than the sum of its proper divisors (415705968).

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

168431040 is a wasteful number, since it uses less digits than its factorization.

168431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 168431040 is about 12978.0984739676. The cubic root of 168431040 is about 552.2563396688.

The spelling of 168431040 in words is "one hundred sixty-eight million, four hundred thirty-one thousand, forty".