81201648 has 160 divisors (see below), whose sum is σ = 243984384. Its totient is φ = 23232000.

The previous prime is 81201647. The next prime is 81201683. The reversal of 81201648 is 84610218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81201647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980508 + ... + 1980548.

Almost surely, 2^81201648 is an apocalyptic number.

81201648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992192).

81201648 is an abundant number, since it is smaller than the sum of its proper divisors (162782736).

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

81201648 is a wasteful number, since it uses less digits than its factorization.

81201648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 81201648 is about 9011.1957031240. The cubic root of 81201648 is about 433.0336189177.

The spelling of 81201648 in words is "eighty-one million, two hundred one thousand, six hundred forty-eight".