42585840 has 240 divisors, whose sum is σ = 164810880. Its totient is φ = 9745920.

The previous prime is 42585827. The next prime is 42585863. The reversal of 42585840 is 4858524.

42585840 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 (240).

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 = 42585795 and 42585804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 150339 + ... + 150621.

It is an arithmetic number, because the mean of its divisors is an integer number (686712).

Almost surely, 2^42585840 is an apocalyptic number.

42585840 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 42585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82405440).

42585840 is an abundant number, since it is smaller than the sum of its proper divisors (122225040).

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

42585840 is a wasteful number, since it uses less digits than its factorization.

42585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42585840 is about 6525.7827116753. The cubic root of 42585840 is about 349.2113945495.

The spelling of 42585840 in words is "forty-two million, five hundred eighty-five thousand, eight hundred forty".