10663680 has 72 divisors (see below), whose sum is σ = 34069392. Its totient is φ = 2842624.

The previous prime is 10663661. The next prime is 10663687. The reversal of 10663680 is 8636601.

It is a super-2 number, since 2×10663680² = 227428142284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663687) 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, 2452 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (473186).

Almost surely, 2^10663680 is an apocalyptic number.

10663680 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 10663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034696).

10663680 is an abundant number, since it is smaller than the sum of its proper divisors (23405712).

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

10663680 is an equidigital number, since it uses as much as digits as its factorization.

10663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10663680 is about 3265.5290536144. The cubic root of 10663680 is about 220.1079360167.

The spelling of 10663680 in words is "ten million, six hundred sixty-three thousand, six hundred eighty".