19516896 has 144 divisors (see below), whose sum is σ = 66361680. Its totient is φ = 5564160.

The previous prime is 19516873. The next prime is 19516897. The reversal of 19516896 is 69861591.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19516897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42106 + ... + 42566.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 2^19516896 is an apocalyptic number.

19516896 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 19516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180840).

19516896 is an abundant number, since it is smaller than the sum of its proper divisors (46844784).

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

19516896 is a wasteful number, since it uses less digits than its factorization.

19516896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 19516896 is about 4417.7931142144. The cubic root of 19516896 is about 269.2383472739.

The spelling of 19516896 in words is "nineteen million, five hundred sixteen thousand, eight hundred ninety-six".