168906304 has 56 divisors (see below), whose sum is σ = 385356608. Its totient is φ = 71953920.

The previous prime is 168906289. The next prime is 168906323. The reversal of 168906304 is 403609861.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80047 + ... + 82129.

It is an arithmetic number, because the mean of its divisors is an integer number (6881368).

Almost surely, 2^168906304 is an apocalyptic number.

168906304 is a gapful number since it is divisible by the number (14) 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 168906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192678304).

168906304 is an abundant number, since it is smaller than the sum of its proper divisors (216450304).

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

168906304 is a wasteful number, since it uses less digits than its factorization.

168906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 168906304 is about 12996.3958080693. The cubic root of 168906304 is about 552.7752881040.

The spelling of 168906304 in words is "one hundred sixty-eight million, nine hundred six thousand, three hundred four".