81175600 has 120 divisors (see below), whose sum is σ = 224182080. Its totient is φ = 27936000.

The previous prime is 81175559. The next prime is 81175603. The reversal of 81175600 is 657118.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (81175603) 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, 83115 + ... + 84085.

It is an arithmetic number, because the mean of its divisors is an integer number (1868184).

Almost surely, 2^81175600 is an apocalyptic number.

81175600 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 81175600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112091040).

81175600 is an abundant number, since it is smaller than the sum of its proper divisors (143006480).

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

81175600 is a wasteful number, since it uses less digits than its factorization.

81175600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 81175600 is about 9009.7502740087. The cubic root of 81175600 is about 432.9873108837.

The spelling of 81175600 in words is "eighty-one million, one hundred seventy-five thousand, six hundred".