42560760 has 128 divisors (see below), whose sum is σ = 146707200. Its totient is φ = 9768960.

The previous prime is 42560753. The next prime is 42560783. The reversal of 42560760 is 6706524.

42560760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42560760² = 3622836583555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 24232 + ... + 25928.

It is an arithmetic number, because the mean of its divisors is an integer number (1146150).

Almost surely, 2^42560760 is an apocalyptic number.

42560760 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 42560760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353600).

42560760 is an abundant number, since it is smaller than the sum of its proper divisors (104146440).

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

42560760 is a wasteful number, since it uses less digits than its factorization.

42560760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42560760 is about 6523.8608200973. The cubic root of 42560760 is about 349.1428276138.

The spelling of 42560760 in words is "forty-two million, five hundred sixty thousand, seven hundred sixty".