81067600 has 60 divisors (see below), whose sum is σ = 195640380. Its totient is φ = 32281600.

The previous prime is 81067589. The next prime is 81067607. The reversal of 81067600 is 676018.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 69288976 = 3432^2 + 8324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81067607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155340 + ... + 155860.

It is an arithmetic number, because the mean of its divisors is an integer number (3260673).

Almost surely, 2^81067600 is an apocalyptic number.

81067600 is a gapful number since it is divisible by the number (80) 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 81067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97820190).

81067600 is an abundant number, since it is smaller than the sum of its proper divisors (114572780).

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

81067600 is a wasteful number, since it uses less digits than its factorization.

81067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 81067600 is about 9003.7547723158. The cubic root of 81067600 is about 432.7952031430.

The spelling of 81067600 in words is "eighty-one million, sixty-seven thousand, six hundred".