82344416 has 96 divisors (see below), whose sum is σ = 211051008. Its totient is φ = 30666240.

The previous prime is 82344349. The next prime is 82344419. The reversal of 82344416 is 61444328.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82344419) 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 15 ways as a sum of consecutive naturals, for example, 55946 + ... + 57398.

It is an arithmetic number, because the mean of its divisors is an integer number (2198448).

Almost surely, 2^82344416 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 82344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105525504).

82344416 is an abundant number, since it is smaller than the sum of its proper divisors (128706592).

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

82344416 is a wasteful number, since it uses less digits than its factorization.

82344416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 82344416 is about 9074.3824032272. The cubic root of 82344416 is about 435.0555546258.

The spelling of 82344416 in words is "eighty-two million, three hundred forty-four thousand, four hundred sixteen".