81595200 has 168 divisors, whose sum is σ = 272125440. Its totient is φ = 21401600.

The previous prime is 81595159. The next prime is 81595201. The reversal of 81595200 is 259518.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81595201) by changing a digit.

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, 427105 + ... + 427295.

Almost surely, 2^81595200 is an apocalyptic number.

81595200 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 81595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

81595200 is an abundant number, since it is smaller than the sum of its proper divisors (190530240).

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

81595200 is a wasteful number, since it uses less digits than its factorization.

81595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 81595200 is about 9033.0061441361. The cubic root of 81595200 is about 433.7320721661.

The spelling of 81595200 in words is "eighty-one million, five hundred ninety-five thousand, two hundred".