67981312 has 52 divisors (see below), whose sum is σ = 155432416. Its totient is φ = 29122560.

The previous prime is 67981253. The next prime is 67981313. The reversal of 67981312 is 21318976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67981313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27487 + ... + 29857.

Almost surely, 2^67981312 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 67981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77716208).

67981312 is an abundant number, since it is smaller than the sum of its proper divisors (87451104).

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

67981312 is an equidigital number, since it uses as much as digits as its factorization.

67981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2380 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 67981312 is about 8245.0780469320. The cubic root of 67981312 is about 408.1281156039.

It can be divided in two parts, 6798 and 1312, that multiplied together give a triangular number (8918976 = T₄₂₂₃).

The spelling of 67981312 in words is "sixty-seven million, nine hundred eighty-one thousand, three hundred twelve".