19768056 has 128 divisors (see below), whose sum is σ = 64972800. Its totient is φ = 4855680.

The previous prime is 19768051. The next prime is 19768061. The reversal of 19768056 is 65086791.

It is an interprime number because it is at equal distance from previous prime (19768051) and next prime (19768061).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19767999 and 19768017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768051) 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 31 ways as a sum of consecutive naturals, for example, 34831 + ... + 35393.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 2^19768056 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 19768056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32486400).

19768056 is an abundant number, since it is smaller than the sum of its proper divisors (45204744).

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

19768056 is a wasteful number, since it uses less digits than its factorization.

19768056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 19768056 is about 4446.1282032798. The cubic root of 19768056 is about 270.3883574577.

The spelling of 19768056 in words is "nineteen million, seven hundred sixty-eight thousand, fifty-six".