19766916 has 135 divisors (see below), whose sum is σ = 59055381. Its totient is φ = 5762016.

The previous prime is 19766911. The next prime is 19766969. The reversal of 19766916 is 61966791.

The square root of 19766916 is 4446.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2924100 + 16842816 = 1710^2 + 4104^2 .

It is not an unprimeable number, because it can be changed into a prime (19766911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1040355 + ... + 1040373.

Almost surely, 2^19766916 is an apocalyptic number.

19766916 is the 4446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19766916

19766916 is an abundant number, since it is smaller than the sum of its proper divisors (39288465).

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

19766916 is a wasteful number, since it uses less digits than its factorization.

19766916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 37 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The cubic root of 19766916 is about 270.3831597007.

The spelling of 19766916 in words is "nineteen million, seven hundred sixty-six thousand, nine hundred sixteen".