68816384 has 120 divisors (see below), whose sum is σ = 173067048. Its totient is φ = 27095040.

The previous prime is 68816329. The next prime is 68816393. The reversal of 68816384 is 48361886.

It is a super-3 number, since 3×68816384³ (a number of 24 digits) contains 333 as substring.

Its product of digits (221184) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326039 + ... + 326249.

Almost surely, 2^68816384 is an apocalyptic number.

68816384 is a gapful number since it is divisible by the number (64) 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 68816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86533524).

68816384 is an abundant number, since it is smaller than the sum of its proper divisors (104250664).

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

68816384 is a wasteful number, since it uses less digits than its factorization.

68816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 68816384 is about 8295.5641158393. The cubic root of 68816384 is about 409.7924470012.

The spelling of 68816384 in words is "sixty-eight million, eight hundred sixteen thousand, three hundred eighty-four".