11305840 has 80 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 3575808.

The previous prime is 11305829. The next prime is 11305841. The reversal of 11305840 is 4850311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305841) 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, 6504 + ... + 8056.

Almost surely, 2^11305840 is an apocalyptic number.

11305840 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 11305840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

11305840 is an abundant number, since it is smaller than the sum of its proper divisors (21067088).

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

11305840 is a wasteful number, since it uses less digits than its factorization.

11305840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11305840 is about 3362.4157982022. The cubic root of 11305840 is about 224.4403539939.

The spelling of 11305840 in words is "eleven million, three hundred five thousand, eight hundred forty".