42844640 has 48 divisors (see below), whose sum is σ = 101651760. Its totient is φ = 17064960.

The previous prime is 42844603. The next prime is 42844643. The reversal of 42844640 is 4644824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42844597 and 42844606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42844643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52556 + ... + 53364.

It is an arithmetic number, because the mean of its divisors is an integer number (2117745).

Almost surely, 2^42844640 is an apocalyptic number.

42844640 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 42844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50825880).

42844640 is an abundant number, since it is smaller than the sum of its proper divisors (58807120).

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

42844640 is a wasteful number, since it uses less digits than its factorization.

42844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 42844640 is about 6545.5817159363. The cubic root of 42844640 is about 349.9173682480.

The spelling of 42844640 in words is "forty-two million, eight hundred forty-four thousand, six hundred forty".