42673608 has 64 divisors (see below), whose sum is σ = 122380800. Its totient is φ = 13763520.

The previous prime is 42673597. The next prime is 42673613. The reversal of 42673608 is 80637624.

42673608 is a `hidden beast` number, since 42 + 6 + 7 + 3 + 608 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 3510 + ... + 9882.

It is an arithmetic number, because the mean of its divisors is an integer number (1912200).

Almost surely, 2^42673608 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 42673608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61190400).

42673608 is an abundant number, since it is smaller than the sum of its proper divisors (79707192).

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

42673608 is a wasteful number, since it uses less digits than its factorization.

42673608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42673608 is about 6532.5039609632. The cubic root of 42673608 is about 349.4511342832.

It can be divided in two parts, 4267 and 3608, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 42673608 in words is "forty-two million, six hundred seventy-three thousand, six hundred eight".