11284820 has 24 divisors (see below), whose sum is σ = 23764104. Its totient is φ = 4501376.

The previous prime is 11284781. The next prime is 11284829. The reversal of 11284820 is 2848211.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 10355524 = 964^2 + 3218^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11284820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10634 + ... + 11646.

It is an arithmetic number, because the mean of its divisors is an integer number (990171).

Almost surely, 2^11284820 is an apocalyptic number.

11284820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11284820 is an abundant number, since it is smaller than the sum of its proper divisors (12479284).

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

11284820 is a wasteful number, since it uses less digits than its factorization.

11284820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 11284820 is about 3359.2886151684. The cubic root of 11284820 is about 224.3011733277.

It can be divided in two parts, 1 and 1284820, that added together give a palindrome (1284821).

The spelling of 11284820 in words is "eleven million, two hundred eighty-four thousand, eight hundred twenty".