67006968 has 64 divisors (see below), whose sum is σ = 194338560. Its totient is φ = 18855936.

The previous prime is 67006967. The next prime is 67006969. The reversal of 67006968 is 86960076.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67006967) and next prime (67006969).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67006967) 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, 8280 + ... + 14232.

It is an arithmetic number, because the mean of its divisors is an integer number (3036540).

Almost surely, 2^67006968 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 67006968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97169280).

67006968 is an abundant number, since it is smaller than the sum of its proper divisors (127331592).

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

67006968 is a wasteful number, since it uses less digits than its factorization.

67006968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 67006968 is about 8185.7783991506. The cubic root of 67006968 is about 406.1688895899.

The spelling of 67006968 in words is "sixty-seven million, six thousand, nine hundred sixty-eight".