82410090 has 64 divisors (see below), whose sum is σ = 233349120. Its totient is φ = 18227520.

The previous prime is 82410073. The next prime is 82410103. The reversal of 82410090 is 9001428.

It is a self number, because there is not a number n which added to its sum of digits gives 82410090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (3646080).

Almost surely, 2^82410090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82410090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116674560).

82410090 is an abundant number, since it is smaller than the sum of its proper divisors (150939030).

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

82410090 is a wasteful number, since it uses less digits than its factorization.

82410090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 82410090 is about 9078.0003304693. Note that the first 3 decimals coincide. The cubic root of 82410090 is about 435.1711837819.

The spelling of 82410090 in words is "eighty-two million, four hundred ten thousand, ninety".