43664544 has 216 divisors, whose sum is σ = 156854880. Its totient is φ = 11278080.

The previous prime is 43664539. The next prime is 43664561. The reversal of 43664544 is 44546634.

43664544 is a `hidden beast` number, since 4 + 3 + 6 + 645 + 4 + 4 = 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 = 43664499 and 43664508.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243847 + ... + 244025.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^43664544 is an apocalyptic number.

43664544 is a gapful number since it is divisible by the number (44) 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 43664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

43664544 is an abundant number, since it is smaller than the sum of its proper divisors (113190336).

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

43664544 is a wasteful number, since it uses less digits than its factorization.

43664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 43664544 is about 6607.9152536939. The cubic root of 43664544 is about 352.1353646044.

It can be divided in two parts, 436 and 64544, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 43664544 in words is "forty-three million, six hundred sixty-four thousand, five hundred forty-four".