10641200 has 60 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 4135680.

The previous prime is 10641199. The next prime is 10641227. The reversal of 10641200 is 214601.

It is a super-2 number, since 2×10641200² = 226470274880000, which contains 22 as substring.

It is an unprimeable number.

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, 14441 + ... + 15159.

It is an arithmetic number, because the mean of its divisors is an integer number (438216).

Almost surely, 2^10641200 is an apocalyptic number.

10641200 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 10641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

10641200 is an abundant number, since it is smaller than the sum of its proper divisors (15651760).

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

10641200 is a wasteful number, since it uses less digits than its factorization.

10641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10641200 is about 3262.0852226758. The cubic root of 10641200 is about 219.9531580713.

Adding to 10641200 its reverse (214601), we get a palindrome (10855801).

The spelling of 10641200 in words is "ten million, six hundred forty-one thousand, two hundred".