6610128 has 80 divisors (see below), whose sum is σ = 19808256. Its totient is φ = 1860480.

The previous prime is 6610117. The next prime is 6610133. The reversal of 6610128 is 8210166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6610098 and 6610107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34513 + ... + 34703.

Almost surely, 2^6610128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904128).

6610128 is an abundant number, since it is smaller than the sum of its proper divisors (13198128).

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

6610128 is a wasteful number, since it uses less digits than its factorization.

6610128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

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

The square root of 6610128 is about 2571.0169194309. The cubic root of 6610128 is about 187.6736453581.

The spelling of 6610128 in words is "six million, six hundred ten thousand, one hundred twenty-eight".