42580560 has 120 divisors (see below), whose sum is σ = 145142496. Its totient is φ = 10241280.

The previous prime is 42580553. The next prime is 42580579. The reversal of 42580560 is 6508524.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335217 + ... + 335343.

Almost surely, 2^42580560 is an apocalyptic number.

42580560 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 42580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571248).

42580560 is an abundant number, since it is smaller than the sum of its proper divisors (102561936).

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

42580560 is a wasteful number, since it uses less digits than its factorization.

42580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 42580560 is about 6525.3781499619. The cubic root of 42580560 is about 349.1969616428.

Subtracting from 42580560 its reverse (6508524), we obtain a square (36072036 = 6006²).

The spelling of 42580560 in words is "forty-two million, five hundred eighty thousand, five hundred sixty".