10835680 has 24 divisors (see below), whose sum is σ = 25599672. Its totient is φ = 4334208.

The previous prime is 10835677. The next prime is 10835687. The reversal of 10835680 is 8653801.

It is a super-2 number, since 2×10835680² = 234823922124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10835687) 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 3 ways as a sum of consecutive naturals, for example, 33702 + ... + 34021.

It is an arithmetic number, because the mean of its divisors is an integer number (1066653).

Almost surely, 2^10835680 is an apocalyptic number.

10835680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10835680 is an abundant number, since it is smaller than the sum of its proper divisors (14763992).

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

10835680 is an equidigital number, since it uses as much as digits as its factorization.

10835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738 (or 67730 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10835680 is about 3291.7594079762. The cubic root of 10835680 is about 221.2850413181.

The spelling of 10835680 in words is "ten million, eight hundred thirty-five thousand, six hundred eighty".