869664 has 24 divisors (see below), whose sum is σ = 2283120. Its totient is φ = 289856.

The previous prime is 869663. The next prime is 869683. The reversal of 869664 is 466968.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869664.

It is not an unprimeable number, because it can be changed into a prime (869663) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4434 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (95130).

2⁸⁶⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

869664 is an abundant number, since it is smaller than the sum of its proper divisors (1413456).

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

869664 is a wasteful number, since it uses less digits than its factorization.

869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9064 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 869664 is about 932.5577730093. The cubic root of 869664 is about 95.4517358893.

The spelling of 869664 in words is "eight hundred sixty-nine thousand, six hundred sixty-four".