42839640 has 96 divisors (see below), whose sum is σ = 140474880. Its totient is φ = 11321856.

The previous prime is 42839611. The next prime is 42839647. The reversal of 42839640 is 4693824.

It is a happy number.

42839640 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 9 + 640 = 666.

42839640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42839595 and 42839604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42839647) 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 23 ways as a sum of consecutive naturals, for example, 45252 + ... + 46188.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 2^42839640 is an apocalyptic number.

42839640 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 42839640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70237440).

42839640 is an abundant number, since it is smaller than the sum of its proper divisors (97635240).

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

42839640 is a wasteful number, since it uses less digits than its factorization.

42839640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42839640 is about 6545.1997677687. The cubic root of 42839640 is about 349.9037558498.

The spelling of 42839640 in words is "forty-two million, eight hundred thirty-nine thousand, six hundred forty".