11285820 has 216 divisors, whose sum is σ = 43164576. Its totient is φ = 2336256.

The previous prime is 11285809. The next prime is 11285831. The reversal of 11285820 is 2858211.

11285820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11285809) and next prime (11285831).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212914 + ... + 212966.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 2^11285820 is an apocalyptic number.

11285820 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 11285820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288).

11285820 is an abundant number, since it is smaller than the sum of its proper divisors (31878756).

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

11285820 is a wasteful number, since it uses less digits than its factorization.

11285820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11285820 is about 3359.4374529079. The cubic root of 11285820 is about 224.3077985862.

It can be divided in two parts, 1 and 1285820, that added together give a palindrome (1285821).

The spelling of 11285820 in words is "eleven million, two hundred eighty-five thousand, eight hundred twenty".