11506820 has 24 divisors (see below), whose sum is σ = 26023704. Its totient is φ = 4248576.

The previous prime is 11506813. The next prime is 11506849. The reversal of 11506820 is 2860511.

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 9721924 = 1336^2 + 3118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21869 + ... + 22388.

It is an arithmetic number, because the mean of its divisors is an integer number (1084321).

Almost surely, 2^11506820 is an apocalyptic number.

11506820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11506820 is an abundant number, since it is smaller than the sum of its proper divisors (14516884).

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

11506820 is a wasteful number, since it uses less digits than its factorization.

11506820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44279 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 11506820 is about 3392.1703966635. The cubic root of 11506820 is about 225.7624831266.

The spelling of 11506820 in words is "eleven million, five hundred six thousand, eight hundred twenty".