81832320 has 96 divisors (see below), whose sum is σ = 282597120. Its totient is φ = 21820416.

The previous prime is 81832307. The next prime is 81832327. The reversal of 81832320 is 2323818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81832327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (2943720).

Almost surely, 2^81832320 is an apocalyptic number.

81832320 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 81832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

81832320 is an abundant number, since it is smaller than the sum of its proper divisors (200764800).

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

81832320 is a wasteful number, since it uses less digits than its factorization.

81832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14232 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81832320 is about 9046.1218209794. The cubic root of 81832320 is about 434.1518153357.

The spelling of 81832320 in words is "eighty-one million, eight hundred thirty-two thousand, three hundred twenty".