81924336 has 120 divisors (see below), whose sum is σ = 249827760. Its totient is φ = 24910848.

The previous prime is 81924329. The next prime is 81924341. The reversal of 81924336 is 63342918.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 81924336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200100 + ... + 200508.

It is an arithmetic number, because the mean of its divisors is an integer number (2081898).

Almost surely, 2^81924336 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 81924336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913880).

81924336 is an abundant number, since it is smaller than the sum of its proper divisors (167903424).

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

81924336 is a wasteful number, since it uses less digits than its factorization.

81924336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 81924336 is about 9051.2063284404. The cubic root of 81924336 is about 434.3144810947.

The spelling of 81924336 in words is "eighty-one million, nine hundred twenty-four thousand, three hundred thirty-six".