80664 has 16 divisors (see below), whose sum is σ = 201720. Its totient is φ = 26880.

The previous prime is 80657. The next prime is 80669. The reversal of 80664 is 46608.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3361 = 80664 / (8 + 0 + 6 + 6 + 4).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁵ + 0 + 6³ + 6⁶ + 4⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80664.

It is not an unprimeable number, because it can be changed into a prime (80669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1657 + ... + 1704.

2⁸⁰⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

80664 is an abundant number, since it is smaller than the sum of its proper divisors (121056).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100860).

80664 is a wasteful number, since it uses less digits than its factorization.

80664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 80664 is about 284.0140841578. The cubic root of 80664 is about 43.2075775459.

The spelling of 80664 in words is "eighty thousand, six hundred sixty-four".