42673860 has 72 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 11331648.

The previous prime is 42673849. The next prime is 42673861. The reversal of 42673860 is 6837624.

42673860 = T₁₆ + T₁₇ + ... + T₆₃₄.

It is a super-3 number, since 3×42673860³ (a number of 24 digits) contains 333 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 (42673861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68631 + ... + 69249.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^42673860 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 42673860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

42673860 is an abundant number, since it is smaller than the sum of its proper divisors (87317820).

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

42673860 is a wasteful number, since it uses less digits than its factorization.

42673860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1012 counting only the distinct ones).

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

The square root of 42673860 is about 6532.5232490975. The cubic root of 42673860 is about 349.4518221519.

The spelling of 42673860 in words is "forty-two million, six hundred seventy-three thousand, eight hundred sixty".