81067000 has 128 divisors (see below), whose sum is σ = 223367040. Its totient is φ = 26956800.

The previous prime is 81066989. The next prime is 81067009. The reversal of 81067000 is 76018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81067009) 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 31 ways as a sum of consecutive naturals, for example, 258844 + ... + 259156.

It is an arithmetic number, because the mean of its divisors is an integer number (1745055).

Almost surely, 2^81067000 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 81067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111683520).

81067000 is an abundant number, since it is smaller than the sum of its proper divisors (142300040).

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

81067000 is a wasteful number, since it uses less digits than its factorization.

81067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 81067000 is about 9003.7214528216. The cubic root of 81067000 is about 432.7941354014.

The spelling of 81067000 in words is "eighty-one million, sixty-seven thousand".