81024 has 32 divisors (see below), whose sum is σ = 216240. Its totient is φ = 26880.

The previous prime is 81023. The next prime is 81031. The reversal of 81024 is 42018.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 80994 and 81012.

It is not an unprimeable number, because it can be changed into a prime (81023) 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, 279 + ... + 489.

2⁸¹⁰²⁴ 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 81024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108120).

81024 is an abundant number, since it is smaller than the sum of its proper divisors (135216).

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

81024 is a wasteful number, since it uses less digits than its factorization.

81024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 81024 is about 284.6471499945. The cubic root of 81024 is about 43.2717600193.

It can be divided in two parts, 8 and 1024, that multiplied together give a 13-th power (8192 = 2¹³).

The spelling of 81024 in words is "eighty-one thousand, twenty-four".