11785480 has 64 divisors (see below), whose sum is σ = 30960000. Its totient is φ = 4036032.

The previous prime is 11785463. The next prime is 11785493. The reversal of 11785480 is 8458711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13291 + ... + 14149.

It is an arithmetic number, because the mean of its divisors is an integer number (483750).

Almost surely, 2^11785480 is an apocalyptic number.

11785480 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 11785480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480000).

11785480 is an abundant number, since it is smaller than the sum of its proper divisors (19174520).

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

11785480 is an equidigital number, since it uses as much as digits as its factorization.

11785480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 11785480 is about 3432.9986891929. The cubic root of 11785480 is about 227.5703924183.

The spelling of 11785480 in words is "eleven million, seven hundred eighty-five thousand, four hundred eighty".