81264 has 20 divisors (see below), whose sum is σ = 210056. Its totient is φ = 27072.

The previous prime is 81239. The next prime is 81281. The reversal of 81264 is 46218.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 81264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 799 + ... + 894.

2⁸¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

81264 is an abundant number, since it is smaller than the sum of its proper divisors (128792).

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 (105028).

81264 is a wasteful number, since it uses less digits than its factorization.

81264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 81264 is about 285.0684128415. The cubic root of 81264 is about 43.3144427852.

The spelling of 81264 in words is "eighty-one thousand, two hundred sixty-four".