10688073 has 16 divisors (see below), whose sum is σ = 15649536. Its totient is φ = 6434640.

The previous prime is 10688063. The next prime is 10688107. The reversal of 10688073 is 37088601.

It is not a de Polignac number, because 10688073 - 2⁶ = 10688009 is a prime.

It is a super-2 number, since 2×10688073² = 228469808906658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10688023) 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, 4386 + ... + 6372.

It is an arithmetic number, because the mean of its divisors is an integer number (978096).

Almost surely, 2^10688073 is an apocalyptic number.

It is an amenable number.

10688073 is a deficient number, since it is larger than the sum of its proper divisors (4961463).

10688073 is a wasteful number, since it uses less digits than its factorization.

10688073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10688073 is about 3269.2618432912. The cubic root of 10688073 is about 220.2756393540.

It can be divided in two parts, 106880 and 73, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 10688073 in words is "ten million, six hundred eighty-eight thousand, seventy-three".