42857360 has 180 divisors, whose sum is σ = 129280788. Its totient is φ = 13095936.

The previous prime is 42857333. The next prime is 42857393. The reversal of 42857360 is 6375824.

It is a happy number.

42857360 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 6 ways, for example, as 2458624 + 40398736 = 1568^2 + 6356^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42857360.

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 35 ways as a sum of consecutive naturals, for example, 1477826 + ... + 1477854.

Almost surely, 2^42857360 is an apocalyptic number.

42857360 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 42857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64640394).

42857360 is an abundant number, since it is smaller than the sum of its proper divisors (86423428).

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

42857360 is a wasteful number, since it uses less digits than its factorization.

42857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 42857360 is about 6546.5532916184. The cubic root of 42857360 is about 349.9519934156.

The spelling of 42857360 in words is "forty-two million, eight hundred fifty-seven thousand, three hundred sixty".