8128890 has 256 divisors, whose sum is σ = 29859840. Its totient is φ = 1520640.

The previous prime is 8128877. The next prime is 8128919. The reversal of 8128890 is 988218.

8128890 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353419 + ... + 353441.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

Almost surely, 2^8128890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8128890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

8128890 is an abundant number, since it is smaller than the sum of its proper divisors (21730950).

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

8128890 is a wasteful number, since it uses less digits than its factorization.

8128890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8128890 is about 2851.1208322342. The cubic root of 8128890 is about 201.0683661403.

The spelling of 8128890 in words is "eight million, one hundred twenty-eight thousand, eight hundred ninety".