819648 has 42 divisors (see below), whose sum is σ = 2351024. Its totient is φ = 273024.

The previous prime is 819647. The next prime is 819653. The reversal of 819648 is 846918.

It is a happy number.

819648 is a `hidden beast` number, since 8 + 1 + 9 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136 + ... + 1287.

2⁸¹⁹⁶⁴⁸ 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 819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175512).

819648 is an abundant number, since it is smaller than the sum of its proper divisors (1531376).

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

819648 is a wasteful number, since it uses less digits than its factorization.

819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1428 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 819648 is about 905.3441334653. The cubic root of 819648 is about 93.5856212846.

The spelling of 819648 in words is "eight hundred nineteen thousand, six hundred forty-eight".