11684820 has 96 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 2604672.

The previous prime is 11684819. The next prime is 11684821. The reversal of 11684820 is 2848611.

11684820 is digitally balanced in base 2 and base 4, because in such bases 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 (11684819) and next prime (11684821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684821) 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, 17737 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^11684820 is an apocalyptic number.

11684820 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 11684820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

11684820 is an abundant number, since it is smaller than the sum of its proper divisors (26635308).

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

11684820 is a wasteful number, since it uses less digits than its factorization.

11684820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11684820 is about 3418.3065983027. The cubic root of 11684820 is about 226.9206447636.

The spelling of 11684820 in words is "eleven million, six hundred eighty-four thousand, eight hundred twenty".