42810760 has 64 divisors (see below), whose sum is σ = 102895920. Its totient is φ = 15974400.

The previous prime is 42810737. The next prime is 42810763. The reversal of 42810760 is 6701824.

It can be written as a sum of positive squares in 8 ways, for example, as 33942276 + 8868484 = 5826^2 + 2978^2 .

It is a super-2 number, since 2×42810760² = 3665522343555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42810763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106560 + ... + 106960.

Almost surely, 2^42810760 is an apocalyptic number.

42810760 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 42810760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51447960).

42810760 is an abundant number, since it is smaller than the sum of its proper divisors (60085160).

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

42810760 is a wasteful number, since it uses less digits than its factorization.

42810760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 42810760 is about 6542.9931988349. The cubic root of 42810760 is about 349.8251099033.

The spelling of 42810760 in words is "forty-two million, eight hundred ten thousand, seven hundred sixty".