11856000 has 256 divisors, whose sum is σ = 44553600. Its totient is φ = 2764800.

The previous prime is 11855999. The next prime is 11856001. The reversal of 11856000 is 65811.

It is an interprime number because it is at equal distance from previous prime (11855999) and next prime (11856001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623991 + ... + 624009.

Almost surely, 2^11856000 is an apocalyptic number.

11856000 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 11856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

11856000 is an abundant number, since it is smaller than the sum of its proper divisors (32697600).

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

11856000 is a wasteful number, since it uses less digits than its factorization.

11856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11856000 is about 3443.2542746652. The cubic root of 11856000 is about 228.0233894134.

The spelling of 11856000 in words is "eleven million, eight hundred fifty-six thousand".