68007744 has 168 divisors, whose sum is σ = 226332288. Its totient is φ = 19123200.

The previous prime is 68007743. The next prime is 68007761. The reversal of 68007744 is 44770086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 68007699 and 68007708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68007743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407149 + ... + 407315.

It is an arithmetic number, because the mean of its divisors is an integer number (1347216).

Almost surely, 2^68007744 is an apocalyptic number.

68007744 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 68007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

68007744 is an abundant number, since it is smaller than the sum of its proper divisors (158324544).

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

68007744 is a wasteful number, since it uses less digits than its factorization.

68007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 68007744 is about 8246.6807868378. The cubic root of 68007744 is about 408.1810038865.

The spelling of 68007744 in words is "sixty-eight million, seven thousand, seven hundred forty-four".