168240000 has 160 divisors (see below), whose sum is σ = 559227240. Its totient is φ = 44800000.

The previous prime is 168239969. The next prime is 168240031. The reversal of 168240000 is 42861.

It is an interprime number because it is at equal distance from previous prime (168239969) and next prime (168240031).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239650 + ... + 240350.

Almost surely, 2^168240000 is an apocalyptic number.

168240000 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 168240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279613620).

168240000 is an abundant number, since it is smaller than the sum of its proper divisors (390987240).

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

168240000 is an frugal number, since it uses more digits than its factorization.

168240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 168240000 is about 12970.7362936728. The cubic root of 168240000 is about 552.0474649376.

Adding to 168240000 its reverse (42861), we get a palindrome (168282861).

The spelling of 168240000 in words is "one hundred sixty-eight million, two hundred forty thousand".