68454144 has 216 divisors, whose sum is σ = 224161392. Its totient is φ = 19906560.

The previous prime is 68454119. The next prime is 68454149. The reversal of 68454144 is 44145486.

It is a happy number.

68454144 is a `hidden beast` number, since 68 + 454 + 144 = 666.

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 = 68454099 and 68454108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68454149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937692 + ... + 937764.

Almost surely, 2^68454144 is an apocalyptic number.

68454144 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 68454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112080696).

68454144 is an abundant number, since it is smaller than the sum of its proper divisors (155707248).

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

68454144 is a wasteful number, since it uses less digits than its factorization.

68454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 68454144 is about 8273.7019525724. The cubic root of 68454144 is about 409.0721512746.

The spelling of 68454144 in words is "sixty-eight million, four hundred fifty-four thousand, one hundred forty-four".