11822820 has 96 divisors (see below), whose sum is σ = 35779968. Its totient is φ = 2906112.

The previous prime is 11822813. The next prime is 11822821. The reversal of 11822820 is 2822811.

11822820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11822821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68254 + ... + 68426.

It is an arithmetic number, because the mean of its divisors is an integer number (372708).

Almost surely, 2^11822820 is an apocalyptic number.

11822820 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 11822820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889984).

11822820 is an abundant number, since it is smaller than the sum of its proper divisors (23957148).

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

11822820 is a wasteful number, since it uses less digits than its factorization.

11822820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11822820 is about 3438.4327825333. The cubic root of 11822820 is about 227.8104765448.

Subtracting from 11822820 its reverse (2822811), we obtain a palindrome (9000009).

The spelling of 11822820 in words is "eleven million, eight hundred twenty-two thousand, eight hundred twenty".