67944312 has 128 divisors (see below), whose sum is σ = 198912000. Its totient is φ = 21461760.

The previous prime is 67944271. The next prime is 67944313. The reversal of 67944312 is 21344976.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 67944312 = 30³ + 408³ = 158³ + 400³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67944313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488739 + ... + 488877.

It is an arithmetic number, because the mean of its divisors is an integer number (1554000).

Almost surely, 2^67944312 is an apocalyptic number.

67944312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67944312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99456000).

67944312 is an abundant number, since it is smaller than the sum of its proper divisors (130967688).

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

67944312 is a wasteful number, since it uses less digits than its factorization.

67944312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 67944312 is about 8242.8339786751. The cubic root of 67944312 is about 408.0540585811.

The spelling of 67944312 in words is "sixty-seven million, nine hundred forty-four thousand, three hundred twelve".