10689657 has 16 divisors (see below), whose sum is σ = 15628032. Its totient is φ = 6445520.

The previous prime is 10689629. The next prime is 10689713. The reversal of 10689657 is 75698601.

10689657 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10689657 - 2¹⁸ = 10427513 is a prime.

It is a super-2 number, since 2×10689657² = 228537533555298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10689607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6778 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 2^10689657 is an apocalyptic number.

It is an amenable number.

10689657 is a deficient number, since it is larger than the sum of its proper divisors (4938375).

10689657 is a wasteful number, since it uses less digits than its factorization.

10689657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 10689657 is about 3269.5040908370. The cubic root of 10689657 is about 220.2865206225.

It can be divided in two parts, 106896 and 57, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 10689657 in words is "ten million, six hundred eighty-nine thousand, six hundred fifty-seven".