82023744 has 112 divisors (see below), whose sum is σ = 240523776. Its totient is φ = 24460800.

The previous prime is 82023679. The next prime is 82023763. The reversal of 82023744 is 44732028.

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, 149679 + ... + 150225.

Almost surely, 2^82023744 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 82023744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120261888).

82023744 is an abundant number, since it is smaller than the sum of its proper divisors (158500032).

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

82023744 is a wasteful number, since it uses less digits than its factorization.

82023744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 82023744 is about 9056.6960863220. The cubic root of 82023744 is about 434.4900776067.

The spelling of 82023744 in words is "eighty-two million, twenty-three thousand, seven hundred forty-four".