81027648 has 112 divisors (see below), whose sum is σ = 256600960. Its totient is φ = 24924672.

The previous prime is 81027641. The next prime is 81027649. The reversal of 81027648 is 84672018.

81027648 = 204³ + 205³ + ... + 212³.

81027648 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 7 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81027641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20661 + ... + 24267.

It is an arithmetic number, because the mean of its divisors is an integer number (2291080).

Almost surely, 2^81027648 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 81027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128300480).

81027648 is an abundant number, since it is smaller than the sum of its proper divisors (175573312).

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

81027648 is a wasteful number, since it uses less digits than its factorization.

81027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81027648 is about 9001.5358689504. The cubic root of 81027648 is about 432.7240942775.

The spelling of 81027648 in words is "eighty-one million, twenty-seven thousand, six hundred forty-eight".