82420824 has 32 divisors (see below), whose sum is σ = 211080240. Its totient is φ = 26803200.

The previous prime is 82420771. The next prime is 82420829. The reversal of 82420824 is 42802428.

It is a junction number, because it is equal to n+sod(n) for n = 82420791 and 82420800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82420829) 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, 40897 + ... + 42864.

Almost surely, 2^82420824 is an apocalyptic number.

It is an amenable number.

82420824 is an abundant number, since it is smaller than the sum of its proper divisors (128659416).

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

82420824 is a wasteful number, since it uses less digits than its factorization.

82420824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83811 (or 83807 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 82420824 is about 9078.5915207151. The cubic root of 82420824 is about 435.1900767949.

The spelling of 82420824 in words is "eighty-two million, four hundred twenty thousand, eight hundred twenty-four".