67398912 has 216 divisors, whose sum is σ = 233016000. Its totient is φ = 19160064.

The previous prime is 67398889. The next prime is 67398913. The reversal of 67398912 is 21989376.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×67398912² = 9085226677567488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67398913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338589 + ... + 338787.

Almost surely, 2^67398912 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 67398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116508000).

67398912 is an abundant number, since it is smaller than the sum of its proper divisors (165617088).

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

67398912 is a wasteful number, since it uses less digits than its factorization.

67398912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 67398912 is about 8209.6840377691. The cubic root of 67398912 is about 406.9592853484.

It can be divided in two parts, 6739 and 8912, that added together give a palindrome (15651).

The spelling of 67398912 in words is "sixty-seven million, three hundred ninety-eight thousand, nine hundred twelve".