803505096 has 80 divisors (see below), whose sum is σ = 2273026140. Its totient is φ = 265161600.

The previous prime is 803505067. The next prime is 803505113. The reversal of 803505096 is 690505308.

803505096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 801682596 + 1822500 = 28314^2 + 1350^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 803505096.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59310 + ... + 71586.

Almost surely, 2^803505096 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 803505096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136513070).

803505096 is an abundant number, since it is smaller than the sum of its proper divisors (1469521044).

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

803505096 is a wasteful number, since it uses less digits than its factorization.

803505096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 803505096 is about 28346.1654549606. The cubic root of 803505096 is about 929.6715593591.

The spelling of 803505096 in words is "eight hundred three million, five hundred five thousand, ninety-six".