82624224 has 48 divisors (see below), whose sum is σ = 217969920. Its totient is φ = 27404160.

The previous prime is 82624183. The next prime is 82624237. The reversal of 82624224 is 42242628.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 82624191 and 82624200.

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, 18217 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (4541040).

Almost surely, 2^82624224 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 82624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108984960).

82624224 is an abundant number, since it is smaller than the sum of its proper divisors (135345696).

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

82624224 is a wasteful number, since it uses less digits than its factorization.

82624224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4295 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 82624224 is about 9089.7867961795. The cubic root of 82624224 is about 435.5477733967.

The spelling of 82624224 in words is "eighty-two million, six hundred twenty-four thousand, two hundred twenty-four".