10961200 has 60 divisors (see below), whose sum is σ = 26792680. Its totient is φ = 4308480.

The previous prime is 10961183. The next prime is 10961207. The reversal of 10961200 is 216901.

It is not an unprimeable number, because it can be changed into a prime (10961207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26596 + ... + 27004.

Almost surely, 2^10961200 is an apocalyptic number.

10961200 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 10961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396340).

10961200 is an abundant number, since it is smaller than the sum of its proper divisors (15831480).

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

10961200 is a wasteful number, since it uses less digits than its factorization.

10961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10961200 is about 3310.7703031168. The cubic root of 10961200 is about 222.1362148647.

The spelling of 10961200 in words is "ten million, nine hundred sixty-one thousand, two hundred".