10688413 has 8 divisors (see below), whose sum is σ = 11059776. Its totient is φ = 10322400.

The previous prime is 10688407. The next prime is 10688417. The reversal of 10688413 is 31488601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10688413 - 2¹³ = 10680221 is a prime.

It is a super-2 number, since 2×10688413² = 228484344917138, 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 (10688417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2958 + ... + 5488.

It is an arithmetic number, because the mean of its divisors is an integer number (1382472).

Almost surely, 2^10688413 is an apocalyptic number.

It is an amenable number.

10688413 is a deficient number, since it is larger than the sum of its proper divisors (371363).

10688413 is a wasteful number, since it uses less digits than its factorization.

10688413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10688413 is about 3269.3138423834. The cubic root of 10688413 is about 220.2779750704.

It can be divided in two parts, 10688 and 413, that multiplied together give a palindrome (4414144).

The spelling of 10688413 in words is "ten million, six hundred eighty-eight thousand, four hundred thirteen".