67638368 has 48 divisors (see below), whose sum is σ = 156318624. Its totient is φ = 28200960.

The previous prime is 67638341. The next prime is 67638379. The reversal of 67638368 is 86383676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4208 + ... + 12368.

It is an arithmetic number, because the mean of its divisors is an integer number (3256638).

Almost surely, 2^67638368 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 67638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78159312).

67638368 is an abundant number, since it is smaller than the sum of its proper divisors (88680256).

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

67638368 is a wasteful number, since it uses less digits than its factorization.

67638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8207 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 67638368 is about 8224.2548598642. The cubic root of 67638368 is about 407.4406663333.

The spelling of 67638368 in words is "sixty-seven million, six hundred thirty-eight thousand, three hundred sixty-eight".