82206920 has 48 divisors (see below), whose sum is σ = 195247260. Its totient is φ = 31146624.

The previous prime is 82206913. The next prime is 82206937. The reversal of 82206920 is 2960228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75724804 + 6482116 = 8702^2 + 2546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11594 + ... + 17286.

Almost surely, 2^82206920 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 82206920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97623630).

82206920 is an abundant number, since it is smaller than the sum of its proper divisors (113040340).

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

82206920 is a wasteful number, since it uses less digits than its factorization.

82206920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 82206920 is about 9066.8031852467. The cubic root of 82206920 is about 434.8132725678.

The spelling of 82206920 in words is "eighty-two million, two hundred six thousand, nine hundred twenty".