81362688 has 72 divisors (see below), whose sum is σ = 236253696. Its totient is φ = 24652800.

The previous prime is 81362669. The next prime is 81362689. The reversal of 81362688 is 88626318.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81362689) 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 7 ways as a sum of consecutive naturals, for example, 3633 + ... + 13263.

Almost surely, 2^81362688 is an apocalyptic number.

81362688 is a gapful number since it is divisible by the number (88) 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 81362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118126848).

81362688 is an abundant number, since it is smaller than the sum of its proper divisors (154891008).

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

81362688 is a wasteful number, since it uses less digits than its factorization.

81362688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9647 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 81362688 is about 9020.1268283766. The cubic root of 81362688 is about 433.3196955603.

The spelling of 81362688 in words is "eighty-one million, three hundred sixty-two thousand, six hundred eighty-eight".