11835220 has 48 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 4561920.

The previous prime is 11835217. The next prime is 11835221. The reversal of 11835220 is 2253811.

11835220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2125764 + 9709456 = 1458^2 + 3116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11835191 and 11835200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11835221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108526 + ... + 108634.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 2^11835220 is an apocalyptic number.

11835220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11835220 is an abundant number, since it is smaller than the sum of its proper divisors (13944380).

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

11835220 is a wasteful number, since it uses less digits than its factorization.

11835220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11835220 is about 3440.2354570581. The cubic root of 11835220 is about 227.8900927136.

The spelling of 11835220 in words is "eleven million, eight hundred thirty-five thousand, two hundred twenty".