803561984 has 160 divisors (see below), whose sum is σ = 1847292480. Its totient is φ = 346816512.

The previous prime is 803561951. The next prime is 803561987. The reversal of 803561984 is 489165308.

It is not an unprimeable number, because it can be changed into a prime (803561987) 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 15 ways as a sum of consecutive naturals, for example, 7111112 + ... + 7111224.

It is an arithmetic number, because the mean of its divisors is an integer number (11545578).

Almost surely, 2^803561984 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 803561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923646240).

803561984 is an abundant number, since it is smaller than the sum of its proper divisors (1043730496).

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

803561984 is a wasteful number, since it uses less digits than its factorization.

803561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 803561984 is about 28347.1688886210. The cubic root of 803561984 is about 929.6934990281.

The spelling of 803561984 in words is "eight hundred three million, five hundred sixty-one thousand, nine hundred eighty-four".