168764904 has 256 divisors, whose sum is σ = 596736000. Its totient is φ = 42923520.

The previous prime is 168764863. The next prime is 168764909. The reversal of 168764904 is 409467861.

It is a self number, because there is not a number n which added to its sum of digits gives 168764904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168764909) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1214067 + ... + 1214205.

It is an arithmetic number, because the mean of its divisors is an integer number (2331000).

Almost surely, 2^168764904 is an apocalyptic number.

168764904 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 168764904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368000).

168764904 is an abundant number, since it is smaller than the sum of its proper divisors (427971096).

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

168764904 is a wasteful number, since it uses less digits than its factorization.

168764904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 168764904 is about 12990.9546993283. The cubic root of 168764904 is about 552.6209930002.

The spelling of 168764904 in words is "one hundred sixty-eight million, seven hundred sixty-four thousand, nine hundred four".