81006848 has 72 divisors (see below), whose sum is σ = 176589336. Its totient is φ = 36864000.

The previous prime is 81006839. The next prime is 81006907. The reversal of 81006848 is 84860018.

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 53465344 = 5248^2 + 7312^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 336008 + ... + 336248.

Almost surely, 2^81006848 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 81006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88294668).

81006848 is an abundant number, since it is smaller than the sum of its proper divisors (95582488).

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

81006848 is a wasteful number, since it uses less digits than its factorization.

81006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 81006848 is about 9000.3804364038. The cubic root of 81006848 is about 432.6870639894.

The spelling of 81006848 in words is "eighty-one million, six thousand, eight hundred forty-eight".