42671360 has 144 divisors (see below), whose sum is σ = 113245776. Its totient is φ = 15335424.

The previous prime is 42671353. The next prime is 42671381. The reversal of 42671360 is 6317624.

It can be written as a sum of positive squares in 8 ways, for example, as 7054336 + 35617024 = 2656^2 + 5968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805094 + ... + 805146.

It is an arithmetic number, because the mean of its divisors is an integer number (786429).

Almost surely, 2^42671360 is an apocalyptic number.

42671360 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 42671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622888).

42671360 is an abundant number, since it is smaller than the sum of its proper divisors (70574416).

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

42671360 is a wasteful number, since it uses less digits than its factorization.

42671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42671360 is about 6532.3318960384. The cubic root of 42671360 is about 349.4449979382. Note that the first 3 decimals are identical.

Adding to 42671360 its reverse (6317624), we get a palindrome (48988984).

The spelling of 42671360 in words is "forty-two million, six hundred seventy-one thousand, three hundred sixty".