11633920 has 72 divisors (see below), whose sum is σ = 28513800. Its totient is φ = 4546560.

The previous prime is 11633911. The next prime is 11633971. The reversal of 11633920 is 2933611.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 11182336 = 672^2 + 3344^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78006 + ... + 78154.

It is an arithmetic number, because the mean of its divisors is an integer number (396025).

Almost surely, 2^11633920 is an apocalyptic number.

11633920 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 11633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256900).

11633920 is an abundant number, since it is smaller than the sum of its proper divisors (16879880).

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

11633920 is an equidigital number, since it uses as much as digits as its factorization.

11633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 11633920 is about 3410.8532656800. The cubic root of 11633920 is about 226.5906704092.

The spelling of 11633920 in words is "eleven million, six hundred thirty-three thousand, nine hundred twenty".