42076584 has 80 divisors (see below), whose sum is σ = 128589120. Its totient is φ = 12748320.

The previous prime is 42076549. The next prime is 42076589. The reversal of 42076584 is 48567024.

42076584 is a `hidden beast` number, since 4 + 2 + 0 + 76 + 584 = 666.

It is a super-2 number, since 2×42076584² = 3540877842218112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42076589) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4177 + ... + 10079.

It is an arithmetic number, because the mean of its divisors is an integer number (1607364).

Almost surely, 2^42076584 is an apocalyptic number.

42076584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42076584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64294560).

42076584 is an abundant number, since it is smaller than the sum of its proper divisors (86512536).

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

42076584 is a wasteful number, since it uses less digits than its factorization.

42076584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42076584 is about 6486.6465912673. The cubic root of 42076584 is about 347.8138124129.

The spelling of 42076584 in words is "forty-two million, seventy-six thousand, five hundred eighty-four".