2689128 has 96 divisors (see below), whose sum is σ = 8353800. Its totient is φ = 778752.

The previous prime is 2689121. The next prime is 2689129. The reversal of 2689128 is 8219862.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 2377764 = 558^2 + 1542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2689092 and 2689101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158176 + ... + 158192.

2^2689128 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 2689128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900).

2689128 is an abundant number, since it is smaller than the sum of its proper divisors (5664672).

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

2689128 is a wasteful number, since it uses less digits than its factorization.

2689128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2689128 is about 1639.8560912470. The cubic root of 2689128 is about 139.0605122722.

The spelling of 2689128 in words is "two million, six hundred eighty-nine thousand, one hundred twenty-eight".