67121808 has 80 divisors (see below), whose sum is σ = 187904640. Its totient is φ = 20524032.

The previous prime is 67121807. The next prime is 67121819. The reversal of 67121808 is 80812176.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67121807) 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, 163908 + ... + 164316.

It is an arithmetic number, because the mean of its divisors is an integer number (2348808).

Almost surely, 2^67121808 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 67121808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952320).

67121808 is an abundant number, since it is smaller than the sum of its proper divisors (120782832).

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

67121808 is a wasteful number, since it uses less digits than its factorization.

67121808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 67121808 is about 8192.7900009704. The cubic root of 67121808 is about 406.4007948917.

The spelling of 67121808 in words is "sixty-seven million, one hundred twenty-one thousand, eight hundred eight".