11024820 has 72 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 2811072.

The previous prime is 11024791. The next prime is 11024821. The reversal of 11024820 is 2842011.

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 = 11024793 and 11024802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024821) 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 23 ways as a sum of consecutive naturals, for example, 2809 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 2^11024820 is an apocalyptic number.

11024820 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 11024820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

11024820 is an abundant number, since it is smaller than the sum of its proper divisors (23884236).

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

11024820 is a wasteful number, since it uses less digits than its factorization.

11024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

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

The square root of 11024820 is about 3320.3644378291. The cubic root of 11024820 is about 222.5651536670.

Adding to 11024820 its reverse (2842011), we get a palindrome (13866831).

The spelling of 11024820 in words is "eleven million, twenty-four thousand, eight hundred twenty".