81841248 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 25589760.

The previous prime is 81841231. The next prime is 81841261. The reversal of 81841248 is 84214818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342313 + ... + 342551.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^81841248 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 81841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

81841248 is an abundant number, since it is smaller than the sum of its proper divisors (165824352).

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

81841248 is a wasteful number, since it uses less digits than its factorization.

81841248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 81841248 is about 9046.6152786553. The cubic root of 81841248 is about 434.1676035820.

The spelling of 81841248 in words is "eighty-one million, eight hundred forty-one thousand, two hundred forty-eight".