802664 has 8 divisors (see below), whose sum is σ = 1505010. Its totient is φ = 401328.

The previous prime is 802661. The next prime is 802667. The reversal of 802664 is 466208.

It is an interprime number because it is at equal distance from previous prime (802661) and next prime (802667).

It can be written as a sum of positive squares in only one way, i.e., 592900 + 209764 = 770^2 + 458^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802664.

It is not an unprimeable number, because it can be changed into a prime (802661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50159 + ... + 50174.

2⁸⁰²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

802664 is a deficient number, since it is larger than the sum of its proper divisors (702346).

802664 is a wasteful number, since it uses less digits than its factorization.

802664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100339 (or 100335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 802664 is about 895.9151745562. The cubic root of 802664 is about 92.9347057775.

It can be divided in two parts, 80 and 2664, that added together give a cube (2744 = 14³).

The spelling of 802664 in words is "eight hundred two thousand, six hundred sixty-four".