42586920 has 48 divisors (see below), whose sum is σ = 138408660. Its totient is φ = 11356416.

The previous prime is 42586913. The next prime is 42586937. The reversal of 42586920 is 2968524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36505764 + 6081156 = 6042^2 + 2466^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 58789 + ... + 59508.

Almost surely, 2^42586920 is an apocalyptic number.

42586920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42586920 is an abundant number, since it is smaller than the sum of its proper divisors (95821740).

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

42586920 is a wasteful number, since it uses less digits than its factorization.

42586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118314 (or 118307 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42586920 is about 6525.8654598452. The cubic root of 42586920 is about 349.2143465880.

The spelling of 42586920 in words is "forty-two million, five hundred eighty-six thousand, nine hundred twenty".