81824736 has 48 divisors (see below), whose sum is σ = 245476224. Its totient is φ = 23378304.

The previous prime is 81824711. The next prime is 81824737. The reversal of 81824736 is 63742818.

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 junction number, because it is equal to n+sod(n) for n = 81824694 and 81824703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81824737) 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 7 ways as a sum of consecutive naturals, for example, 60210 + ... + 61553.

It is an arithmetic number, because the mean of its divisors is an integer number (5114088).

Almost surely, 2^81824736 is an apocalyptic number.

It is an amenable number.

81824736 is an abundant number, since it is smaller than the sum of its proper divisors (163651488).

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

81824736 is a wasteful number, since it uses less digits than its factorization.

81824736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121783 (or 121775 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 81824736 is about 9045.7026261093. The cubic root of 81824736 is about 434.1384029127.

The spelling of 81824736 in words is "eighty-one million, eight hundred twenty-four thousand, seven hundred thirty-six".