67108608 has 288 divisors, whose sum is σ = 242009600. Its totient is φ = 17915904.

The previous prime is 67108597. The next prime is 67108633. The reversal of 67108608 is 80680176.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919260 + ... + 919332.

Almost surely, 2^67108608 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 67108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121004800).

67108608 is an abundant number, since it is smaller than the sum of its proper divisors (174900992).

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

67108608 is a wasteful number, since it uses less digits than its factorization.

67108608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 67108608 is about 8191.9843749851. The cubic root of 67108608 is about 406.3741525711.

The spelling of 67108608 in words is "sixty-seven million, one hundred eight thousand, six hundred eight".