11853680 has 20 divisors (see below), whose sum is σ = 27559992. Its totient is φ = 4741440.

The previous prime is 11853679. The next prime is 11853689. The reversal of 11853680 is 8635811.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11853689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74006 + ... + 74165.

Almost surely, 2^11853680 is an apocalyptic number.

11853680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11853680 is an abundant number, since it is smaller than the sum of its proper divisors (15706312).

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

11853680 is a wasteful number, since it uses less digits than its factorization.

11853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148184 (or 148178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11853680 is about 3442.9173675823. The cubic root of 11853680 is about 228.0085151226.

The spelling of 11853680 in words is "eleven million, eight hundred fifty-three thousand, six hundred eighty".