11474820 has 108 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 2620800.

The previous prime is 11474819. The next prime is 11474821. The reversal of 11474820 is 2847411.

11474820 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 (11474819) and next prime (11474821).

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 10188864 = 1134^2 + 3192^2 .

It is not an unprimeable number, because it can be changed into a prime (11474821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8170 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^11474820 is an apocalyptic number.

11474820 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 11474820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

11474820 is an abundant number, since it is smaller than the sum of its proper divisors (29046024).

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

11474820 is a wasteful number, since it uses less digits than its factorization.

11474820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11474820 is about 3387.4503686401. The cubic root of 11474820 is about 225.5530100563.

The spelling of 11474820 in words is "eleven million, four hundred seventy-four thousand, eight hundred twenty".