168682304 has 126 divisors (see below), whose sum is σ = 413708850. Its totient is φ = 68027904.

The previous prime is 168682271. The next prime is 168682351. The reversal of 168682304 is 403286861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 55472704 = 10640^2 + 7448^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1132022 + ... + 1132170.

Almost surely, 2^168682304 is an apocalyptic number.

168682304 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 168682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206854425).

168682304 is an abundant number, since it is smaller than the sum of its proper divisors (245026546).

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

168682304 is a wasteful number, since it uses less digits than its factorization.

168682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 168682304 is about 12987.7751751407. The cubic root of 168682304 is about 552.5308203359.

The spelling of 168682304 in words is "one hundred sixty-eight million, six hundred eighty-two thousand, three hundred four".