81832416 has 48 divisors (see below), whose sum is σ = 217771344. Its totient is φ = 26901504.

The previous prime is 81832409. The next prime is 81832427. The reversal of 81832416 is 61423818.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (4536903).

Almost surely, 2^81832416 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 81832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108885672).

81832416 is an abundant number, since it is smaller than the sum of its proper divisors (135938928).

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

81832416 is a wasteful number, since it uses less digits than its factorization.

81832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763 (or 11755 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 81832416 is about 9046.1271271191. The cubic root of 81832416 is about 434.1519851079.

The spelling of 81832416 in words is "eighty-one million, eight hundred thirty-two thousand, four hundred sixteen".