19867648 has 48 divisors (see below), whose sum is σ = 40540500. Its totient is φ = 9732096.

The previous prime is 19867643. The next prime is 19867649. The reversal of 19867648 is 84676891.

It can be written as a sum of positive squares in 2 ways, for example, as 19784704 + 82944 = 4448^2 + 288^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19867643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182218 + ... + 182326.

Almost surely, 2^19867648 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 19867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270250).

19867648 is an abundant number, since it is smaller than the sum of its proper divisors (20672852).

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

19867648 is an equidigital number, since it uses as much as digits as its factorization.

19867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 19867648 is about 4457.3139893887. The cubic root of 19867648 is about 270.8416716539.

The spelling of 19867648 in words is "nineteen million, eight hundred sixty-seven thousand, six hundred forty-eight".