168345840 has 160 divisors (see below), whose sum is σ = 569963520. Its totient is φ = 40854528.

The previous prime is 168345803. The next prime is 168345847. The reversal of 168345840 is 48543861.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168345847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246139 + ... + 246821.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^168345840 is an apocalyptic number.

168345840 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 168345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

168345840 is an abundant number, since it is smaller than the sum of its proper divisors (401617680).

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

168345840 is a wasteful number, since it uses less digits than its factorization.

168345840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 168345840 is about 12974.8156056262. The cubic root of 168345840 is about 552.1632052599.

The spelling of 168345840 in words is "one hundred sixty-eight million, three hundred forty-five thousand, eight hundred forty".