80064 has 42 divisors (see below), whose sum is σ = 231140. Its totient is φ = 26496.

The previous prime is 80051. The next prime is 80071. The reversal of 80064 is 46008.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

80064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 507 + ... + 645.

2⁸⁰⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115570).

80064 is an abundant number, since it is smaller than the sum of its proper divisors (151076).

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

80064 is a wasteful number, since it uses less digits than its factorization.

80064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80064 is about 282.9558269412. The cubic root of 80064 is about 43.1001810563.

The spelling of 80064 in words is "eighty thousand, sixty-four".