43812864 has 72 divisors (see below), whose sum is σ = 126592830. Its totient is φ = 14598144.

The previous prime is 43812851. The next prime is 43812871. The reversal of 43812864 is 46821834.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 4875264 = 6240^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 17244 + ... + 19620.

Almost surely, 2^43812864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63296415).

43812864 is an abundant number, since it is smaller than the sum of its proper divisors (82779966).

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

43812864 is a wasteful number, since it uses less digits than its factorization.

43812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2382 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 43812864 is about 6619.1286435603. The cubic root of 43812864 is about 352.5336258853.

The spelling of 43812864 in words is "forty-three million, eight hundred twelve thousand, eight hundred sixty-four".