67142416 has 60 divisors (see below), whose sum is σ = 145129600. Its totient is φ = 30064320.

The previous prime is 67142399. The next prime is 67142419. The reversal of 67142416 is 61424176.

It is not an unprimeable number, because it can be changed into a prime (67142419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152725 + ... + 153163.

Almost surely, 2^67142416 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 67142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72564800).

67142416 is an abundant number, since it is smaller than the sum of its proper divisors (77987184).

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

67142416 is a wasteful number, since it uses less digits than its factorization.

67142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 67142416 is about 8194.0475956636. The cubic root of 67142416 is about 406.4423822230.

The spelling of 67142416 in words is "sixty-seven million, one hundred forty-two thousand, four hundred sixteen".