82006470 has 384 divisors, whose sum is σ = 301916160. Its totient is φ = 14929920.

The previous prime is 82006429. The next prime is 82006511. The reversal of 82006470 is 7460028.

It is an interprime number because it is at equal distance from previous prime (82006429) and next prime (82006511).

It is a super-2 number, since 2×82006470² = 13450122243721800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2645355 + ... + 2645385.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^82006470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82006470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

82006470 is an abundant number, since it is smaller than the sum of its proper divisors (219909690).

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

82006470 is a wasteful number, since it uses less digits than its factorization.

82006470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

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

The square root of 82006470 is about 9055.7423770777. The cubic root of 82006470 is about 434.4595746159.

Adding to 82006470 its reverse (7460028), we get a palindrome (89466498).

The spelling of 82006470 in words is "eighty-two million, six thousand, four hundred seventy".