81288256 has 105 divisors (see below), whose sum is σ = 196717031. Its totient is φ = 33323136.

The previous prime is 81288227. The next prime is 81288257. The reversal of 81288256 is 65288218.

It is a happy number.

The square root of 81288256 is 9016.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (61440) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (81288257) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3534261 + ... + 3534283.

Almost surely, 2^81288256 is an apocalyptic number.

81288256 is the 9016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81288256

81288256 is an abundant number, since it is smaller than the sum of its proper divisors (115428775).

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

81288256 is an frugal number, since it uses more digits than its factorization.

81288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 32 counting only the distinct ones).

The product of its digits is 61440, while the sum is 40.

The cubic root of 81288256 is about 433.1875191187.

It can be divided in two parts, 8128 and 8256, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 81288256 in words is "eighty-one million, two hundred eighty-eight thousand, two hundred fifty-six".