11812560 has 80 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3106816.

The previous prime is 11812529. The next prime is 11812561. The reversal of 11812560 is 6521811.

11812560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11812560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19624 + ... + 20216.

Almost surely, 2^11812560 is an apocalyptic number.

11812560 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 11812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

11812560 is an abundant number, since it is smaller than the sum of its proper divisors (25310064).

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

11812560 is a wasteful number, since it uses less digits than its factorization.

11812560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11812560 is about 3436.9404999214. The cubic root of 11812560 is about 227.7445584886.

It can be divided in two parts, 1181 and 2560, that added together give a triangular number (3741 = T₈₆).

The spelling of 11812560 in words is "eleven million, eight hundred twelve thousand, five hundred sixty".