11210820 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2709504.

The previous prime is 11210813. The next prime is 11210833. The reversal of 11210820 is 2801211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11210820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29391 + ... + 29769.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^11210820 is an apocalyptic number.

11210820 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 11210820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11210820 is an abundant number, since it is smaller than the sum of its proper divisors (23262780).

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

11210820 is a wasteful number, since it uses less digits than its factorization.

11210820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11210820 is about 3348.2562625940. The cubic root of 11210820 is about 223.8098141222.

The spelling of 11210820 in words is "eleven million, two hundred ten thousand, eight hundred twenty".