19839648 has 96 divisors (see below), whose sum is σ = 55944000. Its totient is φ = 6137856.

The previous prime is 19839647. The next prime is 19839679. The reversal of 19839648 is 84693891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19839648² = 787223265527808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19839597 and 19839606.

It is not an unprimeable number, because it can be changed into a prime (19839643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133078 + ... + 133226.

It is an arithmetic number, because the mean of its divisors is an integer number (582750).

Almost surely, 2^19839648 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 19839648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27972000).

19839648 is an abundant number, since it is smaller than the sum of its proper divisors (36104352).

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

19839648 is a wasteful number, since it uses less digits than its factorization.

19839648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 19839648 is about 4454.1719769223. The cubic root of 19839648 is about 270.7143770663.

The spelling of 19839648 in words is "nineteen million, eight hundred thirty-nine thousand, six hundred forty-eight".