11856960 has 168 divisors, whose sum is σ = 42793920. Its totient is φ = 3007488.

The previous prime is 11856953. The next prime is 11856979. The reversal of 11856960 is 6965811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66151 + ... + 66329.

Almost surely, 2^11856960 is an apocalyptic number.

11856960 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 11856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

11856960 is an abundant number, since it is smaller than the sum of its proper divisors (30936960).

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

11856960 is a wasteful number, since it uses less digits than its factorization.

11856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11856960 is about 3443.3936748504. The cubic root of 11856960 is about 228.0295437247.

The spelling of 11856960 in words is "eleven million, eight hundred fifty-six thousand, nine hundred sixty".