82126408 has 64 divisors (see below), whose sum is σ = 191640960. Its totient is φ = 32126976.

The previous prime is 82126393. The next prime is 82126423. The reversal of 82126408 is 80462128.

It is an interprime number because it is at equal distance from previous prime (82126393) and next prime (82126423).

It is a self number, because there is not a number n which added to its sum of digits gives 82126408.

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 15 ways as a sum of consecutive naturals, for example, 70035 + ... + 71197.

It is an arithmetic number, because the mean of its divisors is an integer number (2994390).

Almost surely, 2^82126408 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 82126408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95820480).

82126408 is an abundant number, since it is smaller than the sum of its proper divisors (109514552).

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

82126408 is a wasteful number, since it uses less digits than its factorization.

82126408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82126408 is about 9062.3621644690. The cubic root of 82126408 is about 434.6712767315.

The spelling of 82126408 in words is "eighty-two million, one hundred twenty-six thousand, four hundred eight".