11785860 has 72 divisors (see below), whose sum is σ = 36645336. Its totient is φ = 3064320.

The previous prime is 11785853. The next prime is 11785877. The reversal of 11785860 is 6858711.

11785860 is a `hidden beast` number, since 1 + 1 + 78 + 586 + 0 = 666.

11785860 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 can be written as a sum of positive squares in 4 ways, for example, as 171396 + 11614464 = 414^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6582 + ... + 8178.

It is an arithmetic number, because the mean of its divisors is an integer number (508963).

Almost surely, 2^11785860 is an apocalyptic number.

11785860 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 11785860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18322668).

11785860 is an abundant number, since it is smaller than the sum of its proper divisors (24859476).

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

11785860 is a wasteful number, since it uses less digits than its factorization.

11785860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 11785860 is about 3433.0540339470. The cubic root of 11785860 is about 227.5728382477.

The spelling of 11785860 in words is "eleven million, seven hundred eighty-five thousand, eight hundred sixty".