803631816 has 192 divisors, whose sum is σ = 2461979520. Its totient is φ = 235146240.

The previous prime is 803631811. The next prime is 803631833. The reversal of 803631816 is 618136308.

803631816 is a `hidden beast` number, since 8 + 0 + 3 + 631 + 8 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (803631811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649925 + ... + 1650411.

It is an arithmetic number, because the mean of its divisors is an integer number (12822810).

Almost surely, 2^803631816 is an apocalyptic number.

803631816 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803631816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230989760).

803631816 is an abundant number, since it is smaller than the sum of its proper divisors (1658347704).

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

803631816 is a wasteful number, since it uses less digits than its factorization.

803631816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 803631816 is about 28348.4005898040. The cubic root of 803631816 is about 929.7204293198.

The spelling of 803631816 in words is "eight hundred three million, six hundred thirty-one thousand, eight hundred sixteen".