81032960 has 144 divisors (see below), whose sum is σ = 209714400. Its totient is φ = 29933568.

The previous prime is 81032953. The next prime is 81032981. The reversal of 81032960 is 6923018.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1373411 + ... + 1373469.

It is an arithmetic number, because the mean of its divisors is an integer number (1456350).

Almost surely, 2^81032960 is an apocalyptic number.

81032960 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 81032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104857200).

81032960 is an abundant number, since it is smaller than the sum of its proper divisors (128681440).

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

81032960 is a wasteful number, since it uses less digits than its factorization.

81032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 81032960 is about 9001.8309248730. The cubic root of 81032960 is about 432.7335502275.

Adding to 81032960 its reverse (6923018), we get a palindrome (87955978).

The spelling of 81032960 in words is "eighty-one million, thirty-two thousand, nine hundred sixty".