8290900 has 36 divisors (see below), whose sum is σ = 19053468. Its totient is φ = 3120640.

The previous prime is 8290889. The next prime is 8290901. The reversal of 8290900 is 90928.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 99856 + 8191044 = 316^2 + 2862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 739 + ... + 4138.

It is an arithmetic number, because the mean of its divisors is an integer number (529263).

Almost surely, 2^8290900 is an apocalyptic number.

It is an amenable number.

8290900 is an abundant number, since it is smaller than the sum of its proper divisors (10762568).

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

8290900 is a wasteful number, since it uses less digits than its factorization.

8290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 8290900 is about 2879.3922969960. The cubic root of 8290900 is about 202.3953633062.

Adding to 8290900 its sum of digits (28), we get a palindrome (8290928).

The spelling of 8290900 in words is "eight million, two hundred ninety thousand, nine hundred".