68811444 has 180 divisors, whose sum is σ = 211949892. Its totient is φ = 19284480.

The previous prime is 68811443. The next prime is 68811467. The reversal of 68811444 is 44411886.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 37675044 = 5580^2 + 6138^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 68811399 and 68811408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68811443) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2219709 + ... + 2219739.

Almost surely, 2^68811444 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 68811444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105974946).

68811444 is an abundant number, since it is smaller than the sum of its proper divisors (143138448).

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

68811444 is a wasteful number, since it uses less digits than its factorization.

68811444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 68811444 is about 8295.2663610037. The cubic root of 68811444 is about 409.7826410848.

The spelling of 68811444 in words is "sixty-eight million, eight hundred eleven thousand, four hundred forty-four".