803964 has 48 divisors (see below), whose sum is σ = 2274048. Its totient is φ = 215808.

The previous prime is 803963. The next prime is 803977. The reversal of 803964 is 469308.

It is a super-2 number, since 2×803964² = 1292716226592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (47376).

2⁸⁰³⁹⁶⁴ is an apocalyptic number.

803964 is a gapful number since it is divisible by the number (84) 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 803964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137024).

803964 is an abundant number, since it is smaller than the sum of its proper divisors (1470084).

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

803964 is a wasteful number, since it uses less digits than its factorization.

803964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 803964 is about 896.6403961455. The cubic root of 803964 is about 92.9848512729.

The spelling of 803964 in words is "eight hundred three thousand, nine hundred sixty-four".