168099840 has 272 divisors, whose sum is σ = 629140800. Its totient is φ = 42467328.

The previous prime is 168099839. The next prime is 168099901. The reversal of 168099840 is 48990861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847351 + ... + 8847369.

Almost surely, 2^168099840 is an apocalyptic number.

168099840 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 168099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314570400).

168099840 is an abundant number, since it is smaller than the sum of its proper divisors (461040960).

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

168099840 is an frugal number, since it uses more digits than its factorization.

168099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168099840 is about 12965.3322363910. The cubic root of 168099840 is about 551.8941195787.

The spelling of 168099840 in words is "one hundred sixty-eight million, ninety-nine thousand, eight hundred forty".