19695648 has 144 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 5451264.

The previous prime is 19695631. The next prime is 19695649. The reversal of 19695648 is 84659691.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (466560) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 19695597 and 19695606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19695649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249273 + ... + 249351.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^19695648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

19695648 is an abundant number, since it is smaller than the sum of its proper divisors (42356832).

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

19695648 is a wasteful number, since it uses less digits than its factorization.

19695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 19695648 is about 4437.9779179261. The cubic root of 19695648 is about 270.0578202644.

The spelling of 19695648 in words is "nineteen million, six hundred ninety-five thousand, six hundred forty-eight".