43904640 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 10801152.

The previous prime is 43904639. The next prime is 43904647. The reversal of 43904640 is 4640934.

43904640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 43904598 and 43904607.

It is not an unprimeable number, because it can be changed into a prime (43904647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24081 + ... + 25839.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^43904640 is an apocalyptic number.

43904640 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 43904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

43904640 is an abundant number, since it is smaller than the sum of its proper divisors (106892160).

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

43904640 is a wasteful number, since it uses less digits than its factorization.

43904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 43904640 is about 6626.0576514244. The cubic root of 43904640 is about 352.7796081405.

It can be divided in two parts, 43904 and 640, that added together give a palindrome (44544).

The spelling of 43904640 in words is "forty-three million, nine hundred four thousand, six hundred forty".