81288000 has 168 divisors, whose sum is σ = 291038280. Its totient is φ = 21657600.

The previous prime is 81287977. The next prime is 81288013. The reversal of 81288000 is 88218.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 65415744 = 3984^2 + 8088^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71436 + ... + 72564.

Almost surely, 2^81288000 is an apocalyptic number.

81288000 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 81288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145519140).

81288000 is an abundant number, since it is smaller than the sum of its proper divisors (209750280).

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

81288000 is a wasteful number, since it uses less digits than its factorization.

81288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 81288000 is about 9015.9858030057. The cubic root of 81288000 is about 433.1870643743.

The spelling of 81288000 in words is "eighty-one million, two hundred eighty-eight thousand".