42584940 has 120 divisors (see below), whose sum is σ = 135465792. Its totient is φ = 11197440.

The previous prime is 42584929. The next prime is 42584953. The reversal of 42584940 is 4948524.

42584940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42584940² = 3626954229607200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42584895 and 42584904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157005 + ... + 157275.

Almost surely, 2^42584940 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 42584940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67732896).

42584940 is an abundant number, since it is smaller than the sum of its proper divisors (92880852).

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

42584940 is a wasteful number, since it uses less digits than its factorization.

42584940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42584940 is about 6525.7137540655. The cubic root of 42584940 is about 349.2089344793.

The spelling of 42584940 in words is "forty-two million, five hundred eighty-four thousand, nine hundred forty".