80264 has 16 divisors (see below), whose sum is σ = 153600. Its totient is φ = 39312.

The previous prime is 80263. The next prime is 80273. The reversal of 80264 is 46208.

80264 is a modest number, since divided by 264 gives 8 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80263) 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, 569 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2⁸⁰²⁶⁴ is an apocalyptic number.

It is an amenable number.

80264 is a deficient number, since it is larger than the sum of its proper divisors (73336).

80264 is a wasteful number, since it uses less digits than its factorization.

80264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 80264 is about 283.3090185645. The cubic root of 80264 is about 43.1360393219.

The spelling of 80264 in words is "eighty thousand, two hundred sixty-four".