42168336 has 80 divisors (see below), whose sum is σ = 127575168. Its totient is φ = 11750400.

The previous prime is 42168331. The next prime is 42168367. The reversal of 42168336 is 63386124.

42168336 is a nontrivial binomial coefficient, being equal to C(9184, 2).

It is a super-2 number, since 2×42168336² = 3556337122017792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42168297 and 42168306.

It is not an unprimeable number, because it can be changed into a prime (42168331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12246 + ... + 15306.

Almost surely, 2^42168336 is an apocalyptic number.

42168336 is the 9183-rd triangular number and also the 4592-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42168336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63787584).

42168336 is an abundant number, since it is smaller than the sum of its proper divisors (85406832).

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

42168336 is a wasteful number, since it uses less digits than its factorization.

42168336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3114 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42168336 is about 6493.7151154020. The cubic root of 42168336 is about 348.0664425916.

The spelling of 42168336 in words is "forty-two million, one hundred sixty-eight thousand, three hundred thirty-six".