67155968 has 72 divisors (see below), whose sum is σ = 148140720. Its totient is φ = 30412800.

The previous prime is 67155961. The next prime is 67155973. The reversal of 67155968 is 86955176.

Its product of digits (453600) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67155961) 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 5 ways as a sum of consecutive naturals, for example, 247673 + ... + 247943.

It is an arithmetic number, because the mean of its divisors is an integer number (2057510).

Almost surely, 2^67155968 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 67155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

67155968 is an abundant number, since it is smaller than the sum of its proper divisors (80984752).

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

67155968 is a wasteful number, since it uses less digits than its factorization.

67155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 67155968 is about 8194.8744956833. The cubic root of 67155968 is about 406.4697257760.

The spelling of 67155968 in words is "sixty-seven million, one hundred fifty-five thousand, nine hundred sixty-eight".