42586540 has 48 divisors (see below), whose sum is σ = 92431584. Its totient is φ = 16473600.

The previous prime is 42586499. The next prime is 42586541. The reversal of 42586540 is 4568524.

It is a super-2 number, since 2×42586540² = 3627226778343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42586496 and 42586505.

It is not an unprimeable number, because it can be changed into a prime (42586541) 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, 81480 + ... + 82000.

It is an arithmetic number, because the mean of its divisors is an integer number (1925658).

Almost surely, 2^42586540 is an apocalyptic number.

It is an amenable number.

42586540 is an abundant number, since it is smaller than the sum of its proper divisors (49845044).

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

42586540 is a wasteful number, since it uses less digits than its factorization.

42586540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 42586540 is about 6525.8363448680. The cubic root of 42586540 is about 349.2133079135.

The spelling of 42586540 in words is "forty-two million, five hundred eighty-six thousand, five hundred forty".