42240006 has 48 divisors (see below), whose sum is σ = 96112224. Its totient is φ = 13381632.

The previous prime is 42239971. The next prime is 42240013. The reversal of 42240006 is 60004224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106200 + ... + 106596.

It is an arithmetic number, because the mean of its divisors is an integer number (2002338).

Almost surely, 2^42240006 is an apocalyptic number.

42240006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48056112).

42240006 is an abundant number, since it is smaller than the sum of its proper divisors (53872218).

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

42240006 is a wasteful number, since it uses less digits than its factorization.

42240006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42240006 is about 6499.2311853018. The cubic root of 42240006 is about 348.2635241367.

The spelling of 42240006 in words is "forty-two million, two hundred forty thousand, six".