81034128 has 160 divisors (see below), whose sum is σ = 269189120. Its totient is φ = 22861440.

The previous prime is 81034127. The next prime is 81034133. The reversal of 81034128 is 82143018.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81034123) 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, 383943 + ... + 384153.

It is an arithmetic number, because the mean of its divisors is an integer number (1682432).

Almost surely, 2^81034128 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 81034128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134594560).

81034128 is an abundant number, since it is smaller than the sum of its proper divisors (188154992).

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

81034128 is a wasteful number, since it uses less digits than its factorization.

81034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81034128 is about 9001.8958003301. The cubic root of 81034128 is about 432.7356293418.

The spelling of 81034128 in words is "eighty-one million, thirty-four thousand, one hundred twenty-eight".