11538020 has 48 divisors (see below), whose sum is σ = 26342400. Its totient is φ = 4219776.

The previous prime is 11538017. The next prime is 11538031. The reversal of 11538020 is 2083511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11537983 and 11538001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51629 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (548800).

Almost surely, 2^11538020 is an apocalyptic number.

11538020 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 11538020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171200).

11538020 is an abundant number, since it is smaller than the sum of its proper divisors (14804380).

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

11538020 is a wasteful number, since it uses less digits than its factorization.

11538020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11538020 is about 3396.7661091103. The cubic root of 11538020 is about 225.9663457862.

The spelling of 11538020 in words is "eleven million, five hundred thirty-eight thousand, twenty".