67357242 has 48 divisors (see below), whose sum is σ = 157803360. Its totient is φ = 20691936.

The previous prime is 67357231. The next prime is 67357243. The reversal of 67357242 is 24275376.

It is a happy number.

67357242 is a `hidden beast` number, since 67 + 357 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 67357197 and 67357206.

It is not an unprimeable number, because it can be changed into a prime (67357243) 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, 9993 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (3287570).

Almost surely, 2^67357242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67357242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78901680).

67357242 is an abundant number, since it is smaller than the sum of its proper divisors (90446118).

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

67357242 is a wasteful number, since it uses less digits than its factorization.

67357242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5384 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 67357242 is about 8207.1457888842. The cubic root of 67357242 is about 406.8753992790.

The spelling of 67357242 in words is "sixty-seven million, three hundred fifty-seven thousand, two hundred forty-two".