82090008 has 384 divisors, whose sum is σ = 320785920. Its totient is φ = 18247680.

The previous prime is 82090007. The next prime is 82090009. The reversal of 82090008 is 80009028.

It is an interprime number because it is at equal distance from previous prime (82090007) and next prime (82090009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82090007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225191 + ... + 1225257.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^82090008 is an apocalyptic number.

82090008 is a gapful number since it is divisible by the number (88) 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 82090008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

82090008 is an abundant number, since it is smaller than the sum of its proper divisors (238695912).

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

82090008 is a wasteful number, since it uses less digits than its factorization.

82090008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82090008 is about 9060.3536354824. The cubic root of 82090008 is about 434.6070490246.

The spelling of 82090008 in words is "eighty-two million, ninety thousand, eight".