67106208 has 96 divisors (see below), whose sum is σ = 200926656. Its totient is φ = 19427328.

The previous prime is 67106189. The next prime is 67106213. The reversal of 67106208 is 80260176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19635 + ... + 22797.

It is an arithmetic number, because the mean of its divisors is an integer number (2092986).

Almost surely, 2^67106208 is an apocalyptic number.

67106208 is a gapful number since it is divisible by the number (68) 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 67106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100463328).

67106208 is an abundant number, since it is smaller than the sum of its proper divisors (133820448).

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

67106208 is a wasteful number, since it uses less digits than its factorization.

67106208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 67106208 is about 8191.8378890210. The cubic root of 67106208 is about 406.3693081375.

The spelling of 67106208 in words is "sixty-seven million, one hundred six thousand, two hundred eight".