10676628 has 36 divisors (see below), whose sum is σ = 27174420. Its totient is φ = 3534336.

The previous prime is 10676591. The next prime is 10676639. The reversal of 10676628 is 82667601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 6563844 = 2028^2 + 2562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10676628² = 227980770900768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10676592 and 10676601.

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 11 ways as a sum of consecutive naturals, for example, 4708 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (754845).

Almost surely, 2^10676628 is an apocalyptic number.

10676628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10676628 is an abundant number, since it is smaller than the sum of its proper divisors (16497792).

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

10676628 is a wasteful number, since it uses less digits than its factorization.

10676628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2051 counting only the distinct ones).

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

The square root of 10676628 is about 3267.5109793236. The cubic root of 10676628 is about 220.1969861021.

The spelling of 10676628 in words is "ten million, six hundred seventy-six thousand, six hundred twenty-eight".