43856640 has 252 divisors, whose sum is σ = 160854624. Its totient is φ = 11446272.

The previous prime is 43856623. The next prime is 43856641. The reversal of 43856640 is 4665834.

43856640 is a `hidden beast` number, since 4 + 3 + 8 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43856595 and 43856604.

It is not an unprimeable number, because it can be changed into a prime (43856641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933097 + ... + 933143.

It is an arithmetic number, because the mean of its divisors is an integer number (638312).

Almost surely, 2^43856640 is an apocalyptic number.

43856640 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 43856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80427312).

43856640 is an abundant number, since it is smaller than the sum of its proper divisors (116997984).

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

43856640 is an frugal number, since it uses more digits than its factorization.

43856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 43856640 is about 6622.4345976385. The cubic root of 43856640 is about 352.6509991376.

It can be divided in two parts, 4385 and 6640, that added together give a square (11025 = 105²).

The spelling of 43856640 in words is "forty-three million, eight hundred fifty-six thousand, six hundred forty".