81696000 has 288 divisors, whose sum is σ = 290803968. Its totient is φ = 20275200.

The previous prime is 81695989. The next prime is 81696007. The reversal of 81696000 is 69618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81696007) 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 31 ways as a sum of consecutive naturals, for example, 2207982 + ... + 2208018.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^81696000 is an apocalyptic number.

81696000 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 81696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401984).

81696000 is an abundant number, since it is smaller than the sum of its proper divisors (209107968).

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

81696000 is a wasteful number, since it uses less digits than its factorization.

81696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 81696000 is about 9038.5839598911. The cubic root of 81696000 is about 433.9106047339.

The spelling of 81696000 in words is "eighty-one million, six hundred ninety-six thousand".