68685984 has 72 divisors (see below), whose sum is σ = 206830260. Its totient is φ = 21547008.

The previous prime is 68685961. The next prime is 68685989. The reversal of 68685984 is 48958686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66781584 + 1904400 = 8172^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 68685984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68685989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2119 + ... + 11910.

Almost surely, 2^68685984 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 68685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103415130).

68685984 is an abundant number, since it is smaller than the sum of its proper divisors (138144276).

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

68685984 is a wasteful number, since it uses less digits than its factorization.

68685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14051 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 68685984 is about 8287.7007667990. The cubic root of 68685984 is about 409.5334450985.

The spelling of 68685984 in words is "sixty-eight million, six hundred eighty-five thousand, nine hundred eighty-four".