10688892 has 24 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 3554736.

The previous prime is 10688891. The next prime is 10688929. The reversal of 10688892 is 29888601.

10688892 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 super-2 number, since 2×10688892² = 228504824375328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6709 + ... + 8147.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^10688892 is an apocalyptic number.

10688892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10688892 is an abundant number, since it is smaller than the sum of its proper divisors (14309508).

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

10688892 is a wasteful number, since it uses less digits than its factorization.

10688892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 10688892 is about 3269.3870985247. The cubic root of 10688892 is about 220.2812655987.

The spelling of 10688892 in words is "ten million, six hundred eighty-eight thousand, eight hundred ninety-two".