10688309 has 6 divisors (see below), whose sum is σ = 10854774. Its totient is φ = 10524360.

The previous prime is 10688303. The next prime is 10688311. The reversal of 10688309 is 90388601.

10688309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5499025 + 5189284 = 2345^2 + 2278^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10688309 is a prime.

It is a super-2 number, since 2×10688309² = 228479898558962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3299 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (1809129).

Almost surely, 2^10688309 is an apocalyptic number.

It is an amenable number.

10688309 is a deficient number, since it is larger than the sum of its proper divisors (166465).

10688309 is an frugal number, since it uses more digits than its factorization.

10688309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 10688309 is about 3269.2979368666. The cubic root of 10688309 is about 220.2772606213.

The spelling of 10688309 in words is "ten million, six hundred eighty-eight thousand, three hundred nine".