82638090 has 64 divisors (see below), whose sum is σ = 221195520. Its totient is φ = 21954240.

The previous prime is 82638089. The next prime is 82638097. The reversal of 82638090 is 9083628.

It is not an unprimeable number, because it can be changed into a prime (82638097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113307 + ... + 114033.

It is an arithmetic number, because the mean of its divisors is an integer number (3456180).

Almost surely, 2^82638090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82638090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110597760).

82638090 is an abundant number, since it is smaller than the sum of its proper divisors (138557430).

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

82638090 is a wasteful number, since it uses less digits than its factorization.

82638090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82638090 is about 9090.5494883423. The cubic root of 82638090 is about 435.5721365811.

The spelling of 82638090 in words is "eighty-two million, six hundred thirty-eight thousand, ninety".