8290065408 has 88 divisors (see below), whose sum is σ = 23259160320. Its totient is φ = 2617896960.

The previous prime is 8290065401. The next prime is 8290065409. The reversal of 8290065408 is 8045600928.

It is a self number, because there is not a number n which added to its sum of digits gives 8290065408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290065401) 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, 12648 + ... + 129383.

It is an arithmetic number, because the mean of its divisors is an integer number (264308640).

Almost surely, 2^8290065408 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 8290065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629580160).

8290065408 is an abundant number, since it is smaller than the sum of its proper divisors (14969094912).

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

8290065408 is a wasteful number, since it uses less digits than its factorization.

8290065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142073 (or 142055 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8290065408 is about 91049.7963094921. The cubic root of 8290065408 is about 2023.8857179507.

The spelling of 8290065408 in words is "eight billion, two hundred ninety million, sixty-five thousand, four hundred eight".