10688629 has 16 divisors (see below), whose sum is σ = 12849408. Its totient is φ = 8692992.

The previous prime is 10688611. The next prime is 10688647. The reversal of 10688629 is 92688601.

It is an interprime number because it is at equal distance from previous prime (10688611) and next prime (10688647).

It is not a de Polignac number, because 10688629 - 2¹¹ = 10686581 is a prime.

It is a super-2 number, since 2×10688629² = 228493579799282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10688591 and 10688600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688609) by changing a digit.

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, 31549 + ... + 31885.

It is an arithmetic number, because the mean of its divisors is an integer number (803088).

Almost surely, 2^10688629 is an apocalyptic number.

It is an amenable number.

10688629 is a deficient number, since it is larger than the sum of its proper divisors (2160779).

10688629 is a wasteful number, since it uses less digits than its factorization.

10688629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 10688629 is about 3269.3468766712. The cubic root of 10688629 is about 220.2794589116.

The spelling of 10688629 in words is "ten million, six hundred eighty-eight thousand, six hundred twenty-nine".