11785320 has 96 divisors (see below), whose sum is σ = 40341600. Its totient is φ = 2975616.

The previous prime is 11785313. The next prime is 11785321. The reversal of 11785320 is 2358711.

11785320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11785321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5979 + ... + 7701.

It is an arithmetic number, because the mean of its divisors is an integer number (420225).

Almost surely, 2^11785320 is an apocalyptic number.

11785320 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 11785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170800).

11785320 is an abundant number, since it is smaller than the sum of its proper divisors (28556280).

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

11785320 is a wasteful number, since it uses less digits than its factorization.

11785320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11785320 is about 3432.9753858716. The cubic root of 11785320 is about 227.5693625797.

The spelling of 11785320 in words is "eleven million, seven hundred eighty-five thousand, three hundred twenty".