10663600 has 60 divisors (see below), whose sum is σ = 26154576. Its totient is φ = 4176640.

The previous prime is 10663589. The next prime is 10663603. The reversal of 10663600 is 636601.

It is a super-2 number, since 2×10663600² = 227424729920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10663603) 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 11 ways as a sum of consecutive naturals, for example, 20949 + ... + 21451.

Almost surely, 2^10663600 is an apocalyptic number.

10663600 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 10663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077288).

10663600 is an abundant number, since it is smaller than the sum of its proper divisors (15490976).

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

10663600 is a wasteful number, since it uses less digits than its factorization.

10663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 10663600 is about 3265.5168044277. The cubic root of 10663600 is about 220.1073855913.

The spelling of 10663600 in words is "ten million, six hundred sixty-three thousand, six hundred".