68345120 has 48 divisors (see below), whose sum is σ = 162062208. Its totient is φ = 27237120.

The previous prime is 68345087. The next prime is 68345131. The reversal of 68345120 is 2154386.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54905 + ... + 56135.

It is an arithmetic number, because the mean of its divisors is an integer number (3376296).

Almost surely, 2^68345120 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 68345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031104).

68345120 is an abundant number, since it is smaller than the sum of its proper divisors (93717088).

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

68345120 is a wasteful number, since it uses less digits than its factorization.

68345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 68345120 is about 8267.1107407606. The cubic root of 68345120 is about 408.8548652814.

The spelling of 68345120 in words is "sixty-eight million, three hundred forty-five thousand, one hundred twenty".