68058144 has 360 divisors, whose sum is σ = 259547904. Its totient is φ = 17107200.

The previous prime is 68058139. The next prime is 68058149. The reversal of 68058144 is 44185086.

It is an interprime number because it is at equal distance from previous prime (68058139) and next prime (68058149).

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 = 68058099 and 68058108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68058149) 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, 2195409 + ... + 2195439.

Almost surely, 2^68058144 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 68058144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

68058144 is an abundant number, since it is smaller than the sum of its proper divisors (191489760).

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

68058144 is a wasteful number, since it uses less digits than its factorization.

68058144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68058144 is about 8249.7359957759. The cubic root of 68058144 is about 408.2818122233.

It can be divided in two parts, 680581 and 44, that added together give a square (680625 = 825²).

The spelling of 68058144 in words is "sixty-eight million, fifty-eight thousand, one hundred forty-four".