67423968 has 96 divisors (see below), whose sum is σ = 199533600. Its totient is φ = 22146048.

The previous prime is 67423963. The next prime is 67423969. The reversal of 67423968 is 86932476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67423963) 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, 62538 + ... + 63606.

It is an arithmetic number, because the mean of its divisors is an integer number (2078475).

Almost surely, 2^67423968 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 67423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99766800).

67423968 is an abundant number, since it is smaller than the sum of its proper divisors (132109632).

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

67423968 is a wasteful number, since it uses less digits than its factorization.

67423968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 67423968 is about 8211.2098986690. The cubic root of 67423968 is about 407.0097090533.

It can be divided in two parts, 674 and 23968, that added together give a palindrome (24642).

The spelling of 67423968 in words is "sixty-seven million, four hundred twenty-three thousand, nine hundred sixty-eight".