10686429 has 24 divisors (see below), whose sum is σ = 16762200. Its totient is φ = 6521472.

The previous prime is 10686427. The next prime is 10686439. The reversal of 10686429 is 92468601.

10686429 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 642 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 9180900 = 1227^2 + 3030^2 .

It is not a de Polignac number, because 10686429 - 2¹ = 10686427 is a prime.

It is a super-2 number, since 2×10686429² = 228399529544082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686393 and 10686402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (698425).

Almost surely, 2^10686429 is an apocalyptic number.

It is an amenable number.

10686429 is a deficient number, since it is larger than the sum of its proper divisors (6075771).

10686429 is a wasteful number, since it uses less digits than its factorization.

10686429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10686429 is about 3269.0104007176. The cubic root of 10686429 is about 220.2643447792.

The spelling of 10686429 in words is "ten million, six hundred eighty-six thousand, four hundred twenty-nine".