11200960 has 112 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 4014080.

The previous prime is 11200939. The next prime is 11200961. The reversal of 11200960 is 6900211.

11200960 = 230² + 231² + ... + 357².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200961) 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 15 ways as a sum of consecutive naturals, for example, 157725 + ... + 157795.

Almost surely, 2^11200960 is an apocalyptic number.

11200960 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 11200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

11200960 is an abundant number, since it is smaller than the sum of its proper divisors (18425600).

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

11200960 is a wasteful number, since it uses less digits than its factorization.

11200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

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

The square root of 11200960 is about 3346.7835304961. The cubic root of 11200960 is about 223.7441807419.

The spelling of 11200960 in words is "eleven million, two hundred thousand, nine hundred sixty".