82206720 has 168 divisors, whose sum is σ = 286243776. Its totient is φ = 21823488.

The previous prime is 82206703. The next prime is 82206731. The reversal of 82206720 is 2760228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368529 + ... + 368751.

It is an arithmetic number, because the mean of its divisors is an integer number (1703832).

Almost surely, 2^82206720 is an apocalyptic number.

82206720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121888).

82206720 is an abundant number, since it is smaller than the sum of its proper divisors (204037056).

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

82206720 is a wasteful number, since it uses less digits than its factorization.

82206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82206720 is about 9066.7921559943. The cubic root of 82206720 is about 434.8129199505.

Adding to 82206720 its reverse (2760228), we get a palindrome (84966948).

The spelling of 82206720 in words is "eighty-two million, two hundred six thousand, seven hundred twenty".