10815680 has 56 divisors (see below), whose sum is σ = 26164032. Its totient is φ = 4257792.

The previous prime is 10815671. The next prime is 10815691. The reversal of 10815680 is 8651801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23129 + ... + 23591.

Almost surely, 2^10815680 is an apocalyptic number.

10815680 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 10815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082016).

10815680 is an abundant number, since it is smaller than the sum of its proper divisors (15348352).

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

10815680 is an equidigital number, since it uses as much as digits as its factorization.

10815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 10815680 is about 3288.7201157897. The cubic root of 10815680 is about 221.1488115494.

The spelling of 10815680 in words is "ten million, eight hundred fifteen thousand, six hundred eighty".