68293120 has 160 divisors (see below), whose sum is σ = 194059008. Its totient is φ = 22560768.

The previous prime is 68293111. The next prime is 68293129. The reversal of 68293120 is 2139286.

It is an interprime number because it is at equal distance from previous prime (68293111) and next prime (68293129).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68293129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662989 + ... + 663091.

Almost surely, 2^68293120 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 68293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

68293120 is an abundant number, since it is smaller than the sum of its proper divisors (125765888).

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

68293120 is a wasteful number, since it uses less digits than its factorization.

68293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 68293120 is about 8263.9651499749. The cubic root of 68293120 is about 408.7511473313.

The spelling of 68293120 in words is "sixty-eight million, two hundred ninety-three thousand, one hundred twenty".