81000600 has 96 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 21409920.

The previous prime is 81000593. The next prime is 81000643. The reversal of 81000600 is 600018.

It is a super-2 number, since 2×81000600² = 13122194400720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 81000600.

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, 75669 + ... + 76731.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^81000600 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 81000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

81000600 is an abundant number, since it is smaller than the sum of its proper divisors (172316520).

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

81000600 is a wasteful number, since it uses less digits than its factorization.

81000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 81000600 is about 9000.0333332716. The cubic root of 81000600 is about 432.6759394226.

Adding to 81000600 its reverse (600018), we get a palindrome (81600618).

The spelling of 81000600 in words is "eighty-one million, six hundred", and thus it is an aban number.