168808640 has 448 divisors, whose sum is σ = 589897728. Its totient is φ = 44236800.

The previous prime is 168808613. The next prime is 168808643. The reversal of 168808640 is 46808861.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168808643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445425 + ... + 5445455.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^168808640 is an apocalyptic number.

168808640 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 168808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864).

168808640 is an abundant number, since it is smaller than the sum of its proper divisors (421089088).

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

168808640 is a wasteful number, since it uses less digits than its factorization.

168808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 168808640 is about 12992.6379153735. The cubic root of 168808640 is about 552.6687267482.

It can be divided in two parts, 168 and 808640, that added together give a palindrome (808808).

The spelling of 168808640 in words is "one hundred sixty-eight million, eight hundred eight thousand, six hundred forty".