80864 has 36 divisors (see below), whose sum is σ = 192024. Its totient is φ = 32832.

The previous prime is 80863. The next prime is 80897. The reversal of 80864 is 46808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4247 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

2⁸⁰⁸⁶⁴ 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 80864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

80864 is an abundant number, since it is smaller than the sum of its proper divisors (111160).

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

80864 is a wasteful number, since it uses less digits than its factorization.

80864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 80864 is about 284.3659613948. The cubic root of 80864 is about 43.2432579955.

The spelling of 80864 in words is "eighty thousand, eight hundred sixty-four".