67112766 has 64 divisors (see below), whose sum is σ = 174451200. Its totient is φ = 18724608.

The previous prime is 67112743. The next prime is 67112767. The reversal of 67112766 is 66721176.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67112766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67112767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14190 + ... + 18318.

It is an arithmetic number, because the mean of its divisors is an integer number (2725800).

Almost surely, 2^67112766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67112766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87225600).

67112766 is an abundant number, since it is smaller than the sum of its proper divisors (107338434).

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

67112766 is a wasteful number, since it uses less digits than its factorization.

67112766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 67112766 is about 8192.2381557179. The cubic root of 67112766 is about 406.3825452790.

The spelling of 67112766 in words is "sixty-seven million, one hundred twelve thousand, seven hundred sixty-six".