10628676 has 72 divisors (see below), whose sum is σ = 29047200. Its totient is φ = 3265920.

The previous prime is 10628663. The next prime is 10628711. The reversal of 10628676 is 67682601.

It is a happy number.

It is a super-2 number, since 2×10628676² = 225937507025952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10628676.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27855 + ... + 28233.

Almost surely, 2^10628676 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 10628676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523600).

10628676 is an abundant number, since it is smaller than the sum of its proper divisors (18418524).

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

10628676 is a wasteful number, since it uses less digits than its factorization.

10628676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10628676 is about 3260.1650264979. The cubic root of 10628676 is about 219.8668340114.

It can be divided in two parts, 106 and 28676, that added together give a palindrome (28782).

The spelling of 10628676 in words is "ten million, six hundred twenty-eight thousand, six hundred seventy-six".