43680000 has 360 divisors, whose sum is σ = 178792768. Its totient is φ = 9216000.

The previous prime is 43679989. The next prime is 43680029. The reversal of 43680000 is 8634.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359994 + ... + 3360006.

Almost surely, 2^43680000 is an apocalyptic number.

43680000 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 43680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89396384).

43680000 is an abundant number, since it is smaller than the sum of its proper divisors (135112768).

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

43680000 is an equidigital number, since it uses as much as digits as its factorization.

43680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 43680000 is about 6609.0846567433. The cubic root of 43680000 is about 352.1769083196.

Adding to 43680000 its reverse (8634), we get a palindrome (43688634).

The spelling of 43680000 in words is "forty-three million, six hundred eighty thousand".