809283648 has 112 divisors (see below), whose sum is σ = 2194560000. Its totient is φ = 263121408.

The previous prime is 809283583. The next prime is 809283649. The reversal of 809283648 is 846382908.

It is a happy number.

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 = 809283597 and 809283606.

It is not an unprimeable number, because it can be changed into a prime (809283649) 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, 2254093 + ... + 2254451.

Almost surely, 2^809283648 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 809283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280000).

809283648 is an abundant number, since it is smaller than the sum of its proper divisors (1385276352).

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

809283648 is a wasteful number, since it uses less digits than its factorization.

809283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 809283648 is about 28447.9111359692. The cubic root of 809283648 is about 931.8948716974.

The spelling of 809283648 in words is "eight hundred nine million, two hundred eighty-three thousand, six hundred forty-eight".