81248256 has 180 divisors, whose sum is σ = 255582600. Its totient is φ = 24772608.

The previous prime is 81248231. The next prime is 81248257. The reversal of 81248256 is 65284218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81248256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81248257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801650 + ... + 2801678.

Almost surely, 2^81248256 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 81248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127791300).

81248256 is an abundant number, since it is smaller than the sum of its proper divisors (174334344).

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

81248256 is a wasteful number, since it uses less digits than its factorization.

81248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 81248256 is about 9013.7814484266. The cubic root of 81248256 is about 433.1164537334.

The spelling of 81248256 in words is "eighty-one million, two hundred forty-eight thousand, two hundred fifty-six".