11846880 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 2985984.

The previous prime is 11846851. The next prime is 11846881. The reversal of 11846880 is 8864811.

11846880 is a `hidden beast` number, since 118 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11846881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27144 + ... + 27576.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^11846880 is an apocalyptic number.

11846880 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 11846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

11846880 is an abundant number, since it is smaller than the sum of its proper divisors (30806640).

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

11846880 is a wasteful number, since it uses less digits than its factorization.

11846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11846880 is about 3441.9296913214. The cubic root of 11846880 is about 227.9649068795.

It can be divided in two parts, 1 and 1846880, that added together give a square (1846881 = 1359²).

The spelling of 11846880 in words is "eleven million, eight hundred forty-six thousand, eight hundred eighty".