42506576 has 80 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 16794624.

The previous prime is 42506539. The next prime is 42506587. The reversal of 42506576 is 67560524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74420 + ... + 74988.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^42506576 is an apocalyptic number.

42506576 is a gapful number since it is divisible by the number (46) 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 42506576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

42506576 is an abundant number, since it is smaller than the sum of its proper divisors (59272624).

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

42506576 is a wasteful number, since it uses less digits than its factorization.

42506576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 42506576 is about 6519.7067418711. The cubic root of 42506576 is about 348.9946003987.

The spelling of 42506576 in words is "forty-two million, five hundred six thousand, five hundred seventy-six".