11782560 has 48 divisors (see below), whose sum is σ = 37116576. Its totient is φ = 3141888.

The previous prime is 11782549. The next prime is 11782567. The reversal of 11782560 is 6528711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11782567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11794 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (773262).

Almost surely, 2^11782560 is an apocalyptic number.

11782560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11782560 is an abundant number, since it is smaller than the sum of its proper divisors (25334016).

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

11782560 is a wasteful number, since it uses less digits than its factorization.

11782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24565 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11782560 is about 3432.5733786767. The cubic root of 11782560 is about 227.5515963961.

The spelling of 11782560 in words is "eleven million, seven hundred eighty-two thousand, five hundred sixty".