68029344 has 72 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 22543488.

The previous prime is 68029343. The next prime is 68029391. The reversal of 68029344 is 44392086.

It is a happy number.

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

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 = 68029299 and 68029308.

It is not an unprimeable number, because it can be changed into a prime (68029343) 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, 56719 + ... + 57905.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^68029344 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 68029344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

68029344 is an abundant number, since it is smaller than the sum of its proper divisors (126565056).

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

68029344 is a wasteful number, since it uses less digits than its factorization.

68029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

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

The square root of 68029344 is about 8247.9903006732. The cubic root of 68029344 is about 408.2242135560.

The spelling of 68029344 in words is "sixty-eight million, twenty-nine thousand, three hundred forty-four".