82396224 has 112 divisors (see below), whose sum is σ = 248351040. Its totient is φ = 26772480.

The previous prime is 82396219. The next prime is 82396231. The reversal of 82396224 is 42269328.

82396224 is a `hidden beast` number, since 8 + 23 + 9 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70267 + ... + 71429.

It is an arithmetic number, because the mean of its divisors is an integer number (2217420).

Almost surely, 2^82396224 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 82396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124175520).

82396224 is an abundant number, since it is smaller than the sum of its proper divisors (165954816).

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

82396224 is a wasteful number, since it uses less digits than its factorization.

82396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82396224 is about 9077.2365838949. The cubic root of 82396224 is about 435.1467756781.

The spelling of 82396224 in words is "eighty-two million, three hundred ninety-six thousand, two hundred twenty-four".