82844320 has 48 divisors (see below), whose sum is σ = 210780360. Its totient is φ = 30587904.

The previous prime is 82844317. The next prime is 82844323. The reversal of 82844320 is 2344828.

It is an interprime number because it is at equal distance from previous prime (82844317) and next prime (82844323).

It can be written as a sum of positive squares in 4 ways, for example, as 70761744 + 12082576 = 8412^2 + 3476^2 .

It is not an unprimeable number, because it can be changed into a prime (82844323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17835 + ... + 21994.

Almost surely, 2^82844320 is an apocalyptic number.

82844320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82844320 is an abundant number, since it is smaller than the sum of its proper divisors (127936040).

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

82844320 is a wasteful number, since it uses less digits than its factorization.

82844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39857 (or 39849 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 82844320 is about 9101.8855189461. The cubic root of 82844320 is about 435.9341706858.

The spelling of 82844320 in words is "eighty-two million, eight hundred forty-four thousand, three hundred twenty".