10688730 has 32 divisors (see below), whose sum is σ = 27627264. Its totient is φ = 2630976.

The previous prime is 10688723. The next prime is 10688731. The reversal of 10688730 is 3788601.

It is a super-2 number, since 2×10688730² = 228497898025800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10688691 and 10688700.

It is not an unprimeable number, because it can be changed into a prime (10688731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13314 + ... + 14093.

It is an arithmetic number, because the mean of its divisors is an integer number (863352).

Almost surely, 2^10688730 is an apocalyptic number.

10688730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10688730 is an abundant number, since it is smaller than the sum of its proper divisors (16938534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10688730 is a wasteful number, since it uses less digits than its factorization.

10688730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27430.

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

The square root of 10688730 is about 3269.3623231450. The cubic root of 10688730 is about 220.2801527379.

The spelling of 10688730 in words is "ten million, six hundred eighty-eight thousand, seven hundred thirty".