19681284 has 96 divisors (see below), whose sum is σ = 55996416. Its totient is φ = 5258880.

The previous prime is 19681273. The next prime is 19681301. The reversal of 19681284 is 48218691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117769 + ... + 117935.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^19681284 is an apocalyptic number.

19681284 is a gapful number since it is divisible by the number (14) 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 19681284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208).

19681284 is an abundant number, since it is smaller than the sum of its proper divisors (36315132).

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

19681284 is a wasteful number, since it uses less digits than its factorization.

19681284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 19681284 is about 4436.3593181797. The cubic root of 19681284 is about 269.9921534071.

The spelling of 19681284 in words is "nineteen million, six hundred eighty-one thousand, two hundred eighty-four".