67863312 has 80 divisors (see below), whose sum is σ = 212516160. Its totient is φ = 20563200.

The previous prime is 67863287. The next prime is 67863319. The reversal of 67863312 is 21336876.

It is a happy number.

67863312 is a `hidden beast` number, since 6 + 7 + 8 + 633 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (67863319) 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, 2389 + ... + 11892.

It is an arithmetic number, because the mean of its divisors is an integer number (2656452).

Almost surely, 2^67863312 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 67863312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258080).

67863312 is an abundant number, since it is smaller than the sum of its proper divisors (144652848).

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

67863312 is a wasteful number, since it uses less digits than its factorization.

67863312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14297 counting only the distinct ones).

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

The square root of 67863312 is about 8237.9191547380. The cubic root of 67863312 is about 407.8918398416.

The spelling of 67863312 in words is "sixty-seven million, eight hundred sixty-three thousand, three hundred twelve".