11486920 has 16 divisors (see below), whose sum is σ = 25845660. Its totient is φ = 4594752.

The previous prime is 11486911. The next prime is 11486921. The reversal of 11486920 is 2968411.

It is a happy number.

11486920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 872356 = 3258^2 + 934^2 .

It is not an unprimeable number, because it can be changed into a prime (11486921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143547 + ... + 143626.

Almost surely, 2^11486920 is an apocalyptic number.

11486920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11486920 is an abundant number, since it is smaller than the sum of its proper divisors (14358740).

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

11486920 is a wasteful number, since it uses less digits than its factorization.

11486920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287184 (or 287180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11486920 is about 3389.2359020877. The cubic root of 11486920 is about 225.6322627937.

The spelling of 11486920 in words is "eleven million, four hundred eighty-six thousand, nine hundred twenty".