43868160 has 336 divisors, whose sum is σ = 184013856. Its totient is φ = 9437184.

The previous prime is 43868141. The next prime is 43868161. The reversal of 43868160 is 6186834.

It is a happy number.

43868160 is a `hidden beast` number, since 438 + 68 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (43868161) 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, 2580472 + ... + 2580488.

Almost surely, 2^43868160 is an apocalyptic number.

43868160 is a gapful number since it is divisible by the number (40) 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 43868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92006928).

43868160 is an abundant number, since it is smaller than the sum of its proper divisors (140145696).

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

43868160 is a wasteful number, since it uses less digits than its factorization.

43868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 43868160 is about 6623.3043112936. The cubic root of 43868160 is about 352.6818738531.

The spelling of 43868160 in words is "forty-three million, eight hundred sixty-eight thousand, one hundred sixty".