11993920 has 56 divisors (see below), whose sum is σ = 29361384. Its totient is φ = 4663296.

The previous prime is 11993911. The next prime is 11993963. The reversal of 11993920 is 2939911.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 11614464 = 616^2 + 3408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11334 + ... + 12346.

Almost surely, 2^11993920 is an apocalyptic number.

11993920 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 11993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680692).

11993920 is an abundant number, since it is smaller than the sum of its proper divisors (17367464).

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

11993920 is a wasteful number, since it uses less digits than its factorization.

11993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 11993920 is about 3463.2239315412. The cubic root of 11993920 is about 228.9041760753.

The spelling of 11993920 in words is "eleven million, nine hundred ninety-three thousand, nine hundred twenty".