8628126 has 48 divisors (see below), whose sum is σ = 19113984. Its totient is φ = 2594592.

The previous prime is 8628121. The next prime is 8628131. The reversal of 8628126 is 6218268.

It is an interprime number because it is at equal distance from previous prime (8628121) and next prime (8628131).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8628121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67875 + ... + 68001.

It is an arithmetic number, because the mean of its divisors is an integer number (398208).

Almost surely, 2^8628126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8628126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556992).

8628126 is an abundant number, since it is smaller than the sum of its proper divisors (10485858).

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

8628126 is a wasteful number, since it uses less digits than its factorization.

8628126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 8628126 is about 2937.3671884870. The cubic root of 8628126 is about 205.1030693284.

The spelling of 8628126 in words is "eight million, six hundred twenty-eight thousand, one hundred twenty-six".