11504920 has 64 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3710976.

The previous prime is 11504917. The next prime is 11504921. The reversal of 11504920 is 2940511.

11504920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11504891 and 11504900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552 + ... + 5968.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 2^11504920 is an apocalyptic number.

11504920 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 11504920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

11504920 is an abundant number, since it is smaller than the sum of its proper divisors (19832360).

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

11504920 is a wasteful number, since it uses less digits than its factorization.

11504920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11504920 is about 3391.8903284157. The cubic root of 11504920 is about 225.7500565156.

The spelling of 11504920 in words is "eleven million, five hundred four thousand, nine hundred twenty".