11284020 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 2649600.

The previous prime is 11284019. The next prime is 11284027. The reversal of 11284020 is 2048211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11283984 and 11284002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284027) 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 47 ways as a sum of consecutive naturals, for example, 81111 + ... + 81249.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 2^11284020 is an apocalyptic number.

11284020 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 11284020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11284020 is an abundant number, since it is smaller than the sum of its proper divisors (27241740).

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

11284020 is a wasteful number, since it uses less digits than its factorization.

11284020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11284020 is about 3359.1695402287. The cubic root of 11284020 is about 224.2958728391.

The spelling of 11284020 in words is "eleven million, two hundred eighty-four thousand, twenty".