803664 has 30 divisors (see below), whose sum is σ = 2249546. Its totient is φ = 267840.

The previous prime is 803659. The next prime is 803669. The reversal of 803664 is 466308.

It is an interprime number because it is at equal distance from previous prime (803659) and next prime (803669).

It can be written as a sum of positive squares in only one way, i.e., 627264 + 176400 = 792^2 + 420^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803669) by changing a digit.

803664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2647 + ... + 2934.

2⁸⁰³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

803664 is an abundant number, since it is smaller than the sum of its proper divisors (1445882).

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

803664 is a wasteful number, since it uses less digits than its factorization.

803664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 803664 is about 896.4730893897. The cubic root of 803664 is about 92.9732840361.

It can be divided in two parts, 8036 and 64, that added together give a square (8100 = 90²).

The spelling of 803664 in words is "eight hundred three thousand, six hundred sixty-four".