11678160 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 2709504.

The previous prime is 11678159. The next prime is 11678171. The reversal of 11678160 is 6187611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59182 + ... + 59378.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^11678160 is an apocalyptic number.

11678160 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 11678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

11678160 is an abundant number, since it is smaller than the sum of its proper divisors (29569200).

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

11678160 is a wasteful number, since it uses less digits than its factorization.

11678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11678160 is about 3417.3322928858. The cubic root of 11678160 is about 226.8775238964.

The spelling of 11678160 in words is "eleven million, six hundred seventy-eight thousand, one hundred sixty".