68613984 has 144 divisors (see below), whose sum is σ = 206152128. Its totient is φ = 21620736.

The previous prime is 68613977. The next prime is 68614093. The reversal of 68613984 is 48931686.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500764 + ... + 500900.

It is an arithmetic number, because the mean of its divisors is an integer number (1431612).

Almost surely, 2^68613984 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 68613984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064).

68613984 is an abundant number, since it is smaller than the sum of its proper divisors (137538144).

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

68613984 is a wasteful number, since it uses less digits than its factorization.

68613984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 68613984 is about 8283.3558416864. The cubic root of 68613984 is about 409.3902974219.

The spelling of 68613984 in words is "sixty-eight million, six hundred thirteen thousand, nine hundred eighty-four".