42261570 has 96 divisors (see below), whose sum is σ = 121356144. Its totient is φ = 10137600.

The previous prime is 42261563. The next prime is 42261577. The reversal of 42261570 is 7516224.

42261570 is a `hidden beast` number, since 42 + 2 + 615 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42261563) and next prime (42261577).

It can be written as a sum of positive squares in 8 ways, for example, as 154449 + 42107121 = 393^2 + 6489^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42261577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47530 + ... + 48410.

Almost surely, 2^42261570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42261570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678072).

42261570 is an abundant number, since it is smaller than the sum of its proper divisors (79094574).

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

42261570 is a wasteful number, since it uses less digits than its factorization.

42261570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42261570 is about 6500.8899390776. The cubic root of 42261570 is about 348.3227782083.

Adding to 42261570 its reverse (7516224), we get a palindrome (49777794).

The spelling of 42261570 in words is "forty-two million, two hundred sixty-one thousand, five hundred seventy".