68066640 has 240 divisors, whose sum is σ = 248609088. Its totient is φ = 16625664.

The previous prime is 68066639. The next prime is 68066653. The reversal of 68066640 is 4666086.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 68066595 and 68066604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820039 + ... + 820121.

Almost surely, 2^68066640 is an apocalyptic number.

68066640 is a gapful number since it is divisible by the number (60) 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 68066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

68066640 is an abundant number, since it is smaller than the sum of its proper divisors (180542448).

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

68066640 is a wasteful number, since it uses less digits than its factorization.

68066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68066640 is about 8250.2509052755. The cubic root of 68066640 is about 408.2988007263.

The spelling of 68066640 in words is "sixty-eight million, sixty-six thousand, six hundred forty".