42580672 has 56 divisors (see below), whose sum is σ = 90109040. Its totient is φ = 19961856.

The previous prime is 42580667. The next prime is 42580693. The reversal of 42580672 is 27608524.

It is a super-2 number, since 2×42580672² = 3626227255943168, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 438928 + ... + 439024.

It is an arithmetic number, because the mean of its divisors is an integer number (1609090).

Almost surely, 2^42580672 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 42580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45054520).

42580672 is an abundant number, since it is smaller than the sum of its proper divisors (47528368).

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

42580672 is an frugal number, since it uses more digits than its factorization.

42580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 42580672 is about 6525.3867318344. The cubic root of 42580672 is about 349.1972678077.

The spelling of 42580672 in words is "forty-two million, five hundred eighty thousand, six hundred seventy-two".