42565640 has 64 divisors (see below), whose sum is σ = 107654400. Its totient is φ = 15028992.

The previous prime is 42565639. The next prime is 42565669. The reversal of 42565640 is 4656524.

It is a junction number, because it is equal to n+sod(n) for n = 42565597 and 42565606.

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, 10181 + ... + 13739.

It is an arithmetic number, because the mean of its divisors is an integer number (1682100).

Almost surely, 2^42565640 is an apocalyptic number.

42565640 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 42565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53827200).

42565640 is an abundant number, since it is smaller than the sum of its proper divisors (65088760).

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

42565640 is a wasteful number, since it uses less digits than its factorization.

42565640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 42565640 is about 6524.2348210346. The cubic root of 42565640 is about 349.1561712969.

The spelling of 42565640 in words is "forty-two million, five hundred sixty-five thousand, six hundred forty".