68744000 has 112 divisors (see below), whose sum is σ = 183617616. Its totient is φ = 25344000.

The previous prime is 68743993. The next prime is 68744009. The reversal of 68744000 is 44786.

It can be written as a sum of positive squares in 8 ways, for example, as 24760576 + 43983424 = 4976^2 + 6632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68744009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103670 + ... + 104330.

It is an arithmetic number, because the mean of its divisors is an integer number (1639443).

Almost surely, 2^68744000 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 68744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91808808).

68744000 is an abundant number, since it is smaller than the sum of its proper divisors (114873616).

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

68744000 is a wasteful number, since it uses less digits than its factorization.

68744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 68744000 is about 8291.2001543805. The cubic root of 68744000 is about 409.6487175533.

Adding to 68744000 its reverse (44786), we get a palindrome (68788786).

The spelling of 68744000 in words is "sixty-eight million, seven hundred forty-four thousand".