11280000 has 160 divisors (see below), whose sum is σ = 38237760. Its totient is φ = 2944000.

The previous prime is 11279981. The next prime is 11280007. The reversal of 11280000 is 8211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11280007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239977 + ... + 240023.

It is an arithmetic number, because the mean of its divisors is an integer number (238986).

Almost surely, 2^11280000 is an apocalyptic number.

11280000 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 11280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118880).

11280000 is an abundant number, since it is smaller than the sum of its proper divisors (26957760).

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

11280000 is an frugal number, since it uses more digits than its factorization.

11280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11280000 is about 3358.5711247493. The cubic root of 11280000 is about 224.2692340908.

Adding to 11280000 its reverse (8211), we get a palindrome (11288211).

The spelling of 11280000 in words is "eleven million, two hundred eighty thousand".