67612842 has 96 divisors (see below), whose sum is σ = 172860480. Its totient is φ = 18869760.

The previous prime is 67612841. The next prime is 67612843. The reversal of 67612842 is 24821676.

It is an interprime number because it is at equal distance from previous prime (67612841) and next prime (67612843).

It is a junction number, because it is equal to n+sod(n) for n = 67612797 and 67612806.

It is not an unprimeable number, because it can be changed into a prime (67612841) 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 47 ways as a sum of consecutive naturals, for example, 178209 + ... + 178587.

It is an arithmetic number, because the mean of its divisors is an integer number (1800630).

Almost surely, 2^67612842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67612842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86430240).

67612842 is an abundant number, since it is smaller than the sum of its proper divisors (105247638).

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

67612842 is a wasteful number, since it uses less digits than its factorization.

67612842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 67612842 is about 8222.7028403074. The cubic root of 67612842 is about 407.3894052943.

The spelling of 67612842 in words is "sixty-seven million, six hundred twelve thousand, eight hundred forty-two".