81598608 has 180 divisors, whose sum is σ = 283196160. Its totient is φ = 21475584.

The previous prime is 81598577. The next prime is 81598609. The reversal of 81598608 is 80689518.

It is a super-3 number, since 3×81598608³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (81598609) 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 35 ways as a sum of consecutive naturals, for example, 170113 + ... + 170591.

It is an arithmetic number, because the mean of its divisors is an integer number (1573312).

Almost surely, 2^81598608 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 81598608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141598080).

81598608 is an abundant number, since it is smaller than the sum of its proper divisors (201597552).

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

81598608 is a wasteful number, since it uses less digits than its factorization.

81598608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 81598608 is about 9033.1947836853. The cubic root of 81598608 is about 433.7381106680.

The spelling of 81598608 in words is "eighty-one million, five hundred ninety-eight thousand, six hundred eight".