42567840 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 9400320.

The previous prime is 42567839. The next prime is 42567859. The reversal of 42567840 is 4876524.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42567795 and 42567804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413229 + ... + 413331.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^42567840 is an apocalyptic number.

42567840 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 42567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

42567840 is an abundant number, since it is smaller than the sum of its proper divisors (129146976).

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

42567840 is a wasteful number, since it uses less digits than its factorization.

42567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42567840 is about 6524.4034210033. The cubic root of 42567840 is about 349.1621865582.

It can be divided in two parts, 425 and 67840, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 42567840 in words is "forty-two million, five hundred sixty-seven thousand, eight hundred forty".