168315840 has 672 divisors, whose sum is σ = 778337280. Its totient is φ = 33454080.

The previous prime is 168315811. The next prime is 168315841. The reversal of 168315840 is 48513861.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 168315795 and 168315804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168315841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7318069 + ... + 7318091.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^168315840 is an apocalyptic number.

168315840 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 168315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

168315840 is an abundant number, since it is smaller than the sum of its proper divisors (610021440).

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

168315840 is a wasteful number, since it uses less digits than its factorization.

168315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 168315840 is about 12973.6594683227. The cubic root of 168315840 is about 552.1304039737.

The spelling of 168315840 in words is "one hundred sixty-eight million, three hundred fifteen thousand, eight hundred forty".