42587370 has 240 divisors, whose sum is σ = 141526440. Its totient is φ = 9144576.

The previous prime is 42587339. The next prime is 42587387. The reversal of 42587370 is 7378524.

42587370 is a `hidden beast` number, since 4 + 2 + 587 + 3 + 70 = 666.

42587370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40487769 + 2099601 = 6363^2 + 1449^2 .

It is a zygodrome in base 9.

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 119 ways as a sum of consecutive naturals, for example, 1150992 + ... + 1151028.

Almost surely, 2^42587370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42587370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70763220).

42587370 is an abundant number, since it is smaller than the sum of its proper divisors (98939070).

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

42587370 is a wasteful number, since it uses less digits than its factorization.

42587370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42587370 is about 6525.8999379396. The cubic root of 42587370 is about 349.2155765893.

It can be divided in two parts, 4258 and 7370, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 42587370 in words is "forty-two million, five hundred eighty-seven thousand, three hundred seventy".