10686880 has 48 divisors (see below), whose sum is σ = 26739720. Its totient is φ = 4022272.

The previous prime is 10686859. The next prime is 10686887. The reversal of 10686880 is 8868601.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 2598544 = 2844^2 + 1612^2 .

It is a super-2 number, since 2×10686880² = 228418808268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10686887) 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, 756 + ... + 4684.

Almost surely, 2^10686880 is an apocalyptic number.

10686880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369860).

10686880 is an abundant number, since it is smaller than the sum of its proper divisors (16052840).

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

10686880 is a wasteful number, since it uses less digits than its factorization.

10686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 10686880 is about 3269.0793811102. The cubic root of 10686880 is about 220.2674433454.

The spelling of 10686880 in words is "ten million, six hundred eighty-six thousand, eight hundred eighty".