82944384 has 64 divisors (see below), whose sum is σ = 223996080. Its totient is φ = 27187200.

The previous prime is 82944361. The next prime is 82944397. The reversal of 82944384 is 48344928.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21654 + ... + 25194.

Almost surely, 2^82944384 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 82944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111998040).

82944384 is an abundant number, since it is smaller than the sum of its proper divisors (141051696).

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

82944384 is a wasteful number, since it uses less digits than its factorization.

82944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3607 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 82944384 is about 9107.3807431116. The cubic root of 82944384 is about 436.1096152863.

The spelling of 82944384 in words is "eighty-two million, nine hundred forty-four thousand, three hundred eighty-four".