81248076 has 144 divisors (see below), whose sum is σ = 264106080. Its totient is φ = 21409920.

The previous prime is 81248071. The next prime is 81248129. The reversal of 81248076 is 67084218.

It is a super-3 number, since 3×81248076³ (a number of 25 digits) contains 333 as substring.

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 81248076.

It is not an unprimeable number, because it can be changed into a prime (81248071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68206 + ... + 69386.

It is an arithmetic number, because the mean of its divisors is an integer number (1834070).

Almost surely, 2^81248076 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 81248076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132053040).

81248076 is an abundant number, since it is smaller than the sum of its proper divisors (182858004).

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

81248076 is a wasteful number, since it uses less digits than its factorization.

81248076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

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

The square root of 81248076 is about 9013.7714637104. The cubic root of 81248076 is about 433.1161338865.

The spelling of 81248076 in words is "eighty-one million, two hundred forty-eight thousand, seventy-six".