11865680 has 40 divisors (see below), whose sum is σ = 27935712. Its totient is φ = 4686464.

The previous prime is 11865673. The next prime is 11865683. The reversal of 11865680 is 8656811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11865680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11865683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5747 + ... + 7533.

Almost surely, 2^11865680 is an apocalyptic number.

11865680 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 11865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967856).

11865680 is an abundant number, since it is smaller than the sum of its proper divisors (16070032).

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

11865680 is a wasteful number, since it uses less digits than its factorization.

11865680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 11865680 is about 3444.6596348551. The cubic root of 11865680 is about 228.0854301793.

It can be divided in two parts, 1 and 1865680, that added together give a palindrome (1865681).

The spelling of 11865680 in words is "eleven million, eight hundred sixty-five thousand, six hundred eighty".