11752560 has 80 divisors (see below), whose sum is σ = 40488480. Its totient is φ = 3133440.

The previous prime is 11752553. The next prime is 11752561. The reversal of 11752560 is 6525711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752561) 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 15 ways as a sum of consecutive naturals, for example, 561 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (506106).

Almost surely, 2^11752560 is an apocalyptic number.

11752560 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 11752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244240).

11752560 is an abundant number, since it is smaller than the sum of its proper divisors (28735920).

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

11752560 is a wasteful number, since it uses less digits than its factorization.

11752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11752560 is about 3428.2006942418. The cubic root of 11752560 is about 227.3583064864.

The spelling of 11752560 in words is "eleven million, seven hundred fifty-two thousand, five hundred sixty".