10688880 has 40 divisors (see below), whose sum is σ = 33136272. Its totient is φ = 2850304.

The previous prime is 10688863. The next prime is 10688891. The reversal of 10688880 is 8888601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10688880² = 228504311308800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22029 + ... + 22508.

Almost surely, 2^10688880 is an apocalyptic number.

10688880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10688880 is an abundant number, since it is smaller than the sum of its proper divisors (22447392).

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

10688880 is a wasteful number, since it uses less digits than its factorization.

10688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44553 (or 44547 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 10688880 is about 3269.3852633179. The cubic root of 10688880 is about 220.2811831649.

The spelling of 10688880 in words is "ten million, six hundred eighty-eight thousand, eight hundred eighty".