19776168 has 96 divisors (see below), whose sum is σ = 57620160. Its totient is φ = 6105600.

The previous prime is 19776157. The next prime is 19776181. The reversal of 19776168 is 86167791.

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 23 ways as a sum of consecutive naturals, for example, 130893 + ... + 131043.

It is an arithmetic number, because the mean of its divisors is an integer number (600210).

Almost surely, 2^19776168 is an apocalyptic number.

19776168 is a gapful number since it is divisible by the number (18) 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 19776168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810080).

19776168 is an abundant number, since it is smaller than the sum of its proper divisors (37843992).

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

19776168 is a wasteful number, since it uses less digits than its factorization.

19776168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 19776168 is about 4447.0403641073. The cubic root of 19776168 is about 270.4253378332.

The spelling of 19776168 in words is "nineteen million, seven hundred seventy-six thousand, one hundred sixty-eight".