168791904 has 96 divisors (see below), whose sum is σ = 494605440. Its totient is φ = 56002176.

The previous prime is 168791873. The next prime is 168791927. The reversal of 168791904 is 409197861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 168791904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299527 + ... + 300089.

It is an arithmetic number, because the mean of its divisors is an integer number (5152140).

Almost surely, 2^168791904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168791904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247302720).

168791904 is an abundant number, since it is smaller than the sum of its proper divisors (325813536).

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

168791904 is a wasteful number, since it uses less digits than its factorization.

168791904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 168791904 is about 12991.9938423631. The cubic root of 168791904 is about 552.6504619455.

The spelling of 168791904 in words is "one hundred sixty-eight million, seven hundred ninety-one thousand, nine hundred four".