803964312 has 64 divisors (see below), whose sum is σ = 2238336000. Its totient is φ = 267376032.

The previous prime is 803964299. The next prime is 803964319. The reversal of 803964312 is 213469308.

803964312 is a `hidden beast` number, since 8 + 0 + 3 + 9 + 643 + 1 + 2 = 666.

It is a super-2 number, since 2×803964312² = 1292717229939266688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803964319) 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 15 ways as a sum of consecutive naturals, for example, 95989 + ... + 104027.

It is an arithmetic number, because the mean of its divisors is an integer number (34974000).

Almost surely, 2^803964312 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 803964312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119168000).

803964312 is an abundant number, since it is smaller than the sum of its proper divisors (1434371688).

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

803964312 is a wasteful number, since it uses less digits than its factorization.

803964312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 803964312 is about 28354.2644411736. The cubic root of 803964312 is about 929.8486330131.

The spelling of 803964312 in words is "eight hundred three million, nine hundred sixty-four thousand, three hundred twelve".