42586720 has 48 divisors (see below), whose sum is σ = 109762128. Its totient is φ = 15485440.

The previous prime is 42586603. The next prime is 42586729. The reversal of 42586720 is 2768524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42586729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10339 + ... + 13858.

It is an arithmetic number, because the mean of its divisors is an integer number (2286711).

Almost surely, 2^42586720 is an apocalyptic number.

42586720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42586720 is an abundant number, since it is smaller than the sum of its proper divisors (67175408).

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

42586720 is a wasteful number, since it uses less digits than its factorization.

42586720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24223 (or 24215 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 42586720 is about 6525.8501361892. The cubic root of 42586720 is about 349.2137999180.

The spelling of 42586720 in words is "forty-two million, five hundred eighty-six thousand, seven hundred twenty".