19686016 has 64 divisors (see below), whose sum is σ = 45434880. Its totient is φ = 8322048.

The previous prime is 19685993. The next prime is 19686031. The reversal of 19686016 is 61068691.

19686016 = 329² + 330² + ... + 455².

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113706 + ... + 113878.

It is an arithmetic number, because the mean of its divisors is an integer number (709920).

Almost surely, 2^19686016 is an apocalyptic number.

19686016 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 19686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717440).

19686016 is an abundant number, since it is smaller than the sum of its proper divisors (25748864).

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

19686016 is a wasteful number, since it uses less digits than its factorization.

19686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 19686016 is about 4436.8926063181. The cubic root of 19686016 is about 270.0137898764.

The spelling of 19686016 in words is "nineteen million, six hundred eighty-six thousand, sixteen".