803931648 has 240 divisors, whose sum is σ = 2456182080. Its totient is φ = 232906752.

The previous prime is 803931647. The next prime is 803931679. The reversal of 803931648 is 846139308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803931643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932015 + ... + 4932177.

It is an arithmetic number, because the mean of its divisors is an integer number (10234092).

Almost surely, 2^803931648 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 803931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228091040).

803931648 is an abundant number, since it is smaller than the sum of its proper divisors (1652250432).

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

803931648 is a wasteful number, since it uses less digits than its factorization.

803931648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 803931648 is about 28353.6884373092. The cubic root of 803931648 is about 929.8360400051.

The spelling of 803931648 in words is "eight hundred three million, nine hundred thirty-one thousand, six hundred forty-eight".