806481648 has 240 divisors, whose sum is σ = 2729825280. Its totient is φ = 217373184.

The previous prime is 806481631. The next prime is 806481659. The reversal of 806481648 is 846184608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373611 + ... + 1374197.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^806481648 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 806481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

806481648 is an abundant number, since it is smaller than the sum of its proper divisors (1923343632).

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

806481648 is a wasteful number, since it uses less digits than its factorization.

806481648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 806481648 is about 28398.6205298779. The cubic root of 806481648 is about 930.8181215715.

The spelling of 806481648 in words is "eight hundred six million, four hundred eighty-one thousand, six hundred forty-eight".