81145688 has 48 divisors (see below), whose sum is σ = 168389280. Its totient is φ = 36626304.

The previous prime is 81145651. The next prime is 81145717. The reversal of 81145688 is 88654118.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62906 + ... + 64182.

It is an arithmetic number, because the mean of its divisors is an integer number (3508110).

Almost surely, 2^81145688 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 81145688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84194640).

81145688 is an abundant number, since it is smaller than the sum of its proper divisors (87243592).

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

81145688 is a wasteful number, since it uses less digits than its factorization.

81145688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The square root of 81145688 is about 9008.0901416449. The cubic root of 81145688 is about 432.9341212242.

The spelling of 81145688 in words is "eighty-one million, one hundred forty-five thousand, six hundred eighty-eight".