11807920 has 40 divisors (see below), whose sum is σ = 27739296. Its totient is φ = 4674048.

The previous prime is 11807909. The next prime is 11807941. The reversal of 11807920 is 2970811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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, 7524 + ... + 8956.

Almost surely, 2^11807920 is an apocalyptic number.

11807920 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 11807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869648).

11807920 is an abundant number, since it is smaller than the sum of its proper divisors (15931376).

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

11807920 is a wasteful number, since it uses less digits than its factorization.

11807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 11807920 is about 3436.2654146617. The cubic root of 11807920 is about 227.7147350593.

The spelling of 11807920 in words is "eleven million, eight hundred seven thousand, nine hundred twenty".