68214144 has 64 divisors (see below), whose sum is σ = 182070000. Its totient is φ = 22628352.

The previous prime is 68214143. The next prime is 68214163. The reversal of 68214144 is 44141286.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68214143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133762 + ... + 134270.

Almost surely, 2^68214144 is an apocalyptic number.

68214144 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 68214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91035000).

68214144 is an abundant number, since it is smaller than the sum of its proper divisors (113855856).

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

68214144 is a wasteful number, since it uses less digits than its factorization.

68214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 68214144 is about 8259.1854319903. The cubic root of 68214144 is about 408.5935229500.

The spelling of 68214144 in words is "sixty-eight million, two hundred fourteen thousand, one hundred forty-four".