81744024 has 128 divisors (see below), whose sum is σ = 233902080. Its totient is φ = 23654400.

The previous prime is 81743999. The next prime is 81744029. The reversal of 81744024 is 42044718.

It is a junction number, because it is equal to n+sod(n) for n = 81743982 and 81744000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81744029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290764 + ... + 291044.

It is an arithmetic number, because the mean of its divisors is an integer number (1827360).

Almost surely, 2^81744024 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 81744024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116951040).

81744024 is an abundant number, since it is smaller than the sum of its proper divisors (152158056).

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

81744024 is a wasteful number, since it uses less digits than its factorization.

81744024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 81744024 is about 9041.2401804177. The cubic root of 81744024 is about 433.9956111033.

The spelling of 81744024 in words is "eighty-one million, seven hundred forty-four thousand, twenty-four".