42658020 has 72 divisors (see below), whose sum is σ = 130024440. Its totient is φ = 11320320.

The previous prime is 42658019. The next prime is 42658037. The reversal of 42658020 is 2085624.

42658020 is a `hidden beast` number, since 4 + 2 + 658 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 42068196 = 768^2 + 6486^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47980 + ... + 48860.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^42658020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42658020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65012220).

42658020 is an abundant number, since it is smaller than the sum of its proper divisors (87366420).

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

42658020 is a wasteful number, since it uses less digits than its factorization.

42658020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42658020 is about 6531.3107413443. The cubic root of 42658020 is about 349.4085794276.

The spelling of 42658020 in words is "forty-two million, six hundred fifty-eight thousand, twenty".