81688080 has 80 divisors (see below), whose sum is σ = 255680064. Its totient is φ = 21573120.

The previous prime is 81688073. The next prime is 81688081. The reversal of 81688080 is 8088618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81688081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24090 + ... + 27270.

Almost surely, 2^81688080 is an apocalyptic number.

81688080 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 81688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127840032).

81688080 is an abundant number, since it is smaller than the sum of its proper divisors (173991984).

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

81688080 is a wasteful number, since it uses less digits than its factorization.

81688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 81688080 is about 9038.1458275467. The cubic root of 81688080 is about 433.8965824927.

The spelling of 81688080 in words is "eighty-one million, six hundred eighty-eight thousand, eighty".