68883984 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 20494080.

The previous prime is 68883943. The next prime is 68884001. The reversal of 68883984 is 48938886.

68883984 is nontrivially palindromic in base 7.

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 68883984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57439 + ... + 58625.

Almost surely, 2^68883984 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 68883984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

68883984 is an abundant number, since it is smaller than the sum of its proper divisors (145602288).

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

68883984 is a wasteful number, since it uses less digits than its factorization.

68883984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 68883984 is about 8299.6375824490. The cubic root of 68883984 is about 409.9265861019.

The spelling of 68883984 in words is "sixty-eight million, eight hundred eighty-three thousand, nine hundred eighty-four".