19766016 has 108 divisors (see below), whose sum is σ = 59627568. Its totient is φ = 6285312.

The previous prime is 19766011. The next prime is 19766057. The reversal of 19766016 is 61066791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19766011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52806 + ... + 53178.

Almost surely, 2^19766016 is an apocalyptic number.

19766016 is a gapful number since it is divisible by the number (16) 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 19766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813784).

19766016 is an abundant number, since it is smaller than the sum of its proper divisors (39861552).

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

19766016 is a wasteful number, since it uses less digits than its factorization.

19766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19766016 is about 4445.8987842730. The cubic root of 19766016 is about 270.3790560672.

The spelling of 19766016 in words is "nineteen million, seven hundred sixty-six thousand, sixteen".