19768672 has 96 divisors (see below), whose sum is σ = 49641984. Its totient is φ = 7526400.

The previous prime is 19768667. The next prime is 19768673. The reversal of 19768672 is 27686791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 174888 + ... + 175000.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 2^19768672 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 19768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

19768672 is an abundant number, since it is smaller than the sum of its proper divisors (29873312).

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

19768672 is a wasteful number, since it uses less digits than its factorization.

19768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 19768672 is about 4446.1974764961. The cubic root of 19768672 is about 270.3911659871.

It can be divided in two parts, 1976 and 8672, that added together give a cube (10648 = 22³).

The spelling of 19768672 in words is "nineteen million, seven hundred sixty-eight thousand, six hundred seventy-two".