43968000 has 160 divisors (see below), whose sum is σ = 146820960. Its totient is φ = 11673600.

The previous prime is 43967999. The next prime is 43968011. The reversal of 43968000 is 86934.

It is a tau number, because it is divible by the number of its divisors (160).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191886 + ... + 192114.

It is an arithmetic number, because the mean of its divisors is an integer number (917631).

Almost surely, 2^43968000 is an apocalyptic number.

43968000 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 43968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410480).

43968000 is an abundant number, since it is smaller than the sum of its proper divisors (102852960).

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

43968000 is an equidigital number, since it uses as much as digits as its factorization.

43968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 43968000 is about 6630.8370512327. The cubic root of 43968000 is about 352.9492285745.

The spelling of 43968000 in words is "forty-three million, nine hundred sixty-eight thousand".